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Finding the Fourth Proportional to 1,099,693,811.70, 1,649,540,717.55 and 409,458,240.90

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Solution

The fourth proportional to 1,099,693,811.70, 1,649,540,717.55 and 409,458,240.90 is: 614,187,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,693,811.70 : 1,649,540,717.55 = 409,458,240.90 : x
  2. Step 2: Convert to fraction form
    1,099,693,811.70/1,649,540,717.55 = 409,458,240.90/x
  3. Step 3: Cross multiply
    1,099,693,811.70x = 1,649,540,717.55 × 409,458,240.90
  4. Step 4: Simplify right side
    1,099,693,811.70x = 675,418,040,500,946,688
  5. Step 5: Solve for x
    x = 675,418,040,500,946,688/1,099,693,811.70
  6. Step 6: Final answer
    x = 614,187,361.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.