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Finding the Fourth Proportional to 1,099,693,821.70, 1,649,540,732.55 and 409,458,250.90

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Solution

The fourth proportional to 1,099,693,821.70, 1,649,540,732.55 and 409,458,250.90 is: 614,187,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,693,821.70 : 1,649,540,732.55 = 409,458,250.90 : x
  2. Step 2: Convert to fraction form
    1,099,693,821.70/1,649,540,732.55 = 409,458,250.90/x
  3. Step 3: Cross multiply
    1,099,693,821.70x = 1,649,540,732.55 × 409,458,250.90
  4. Step 4: Simplify right side
    1,099,693,821.70x = 675,418,063,138,227,584
  5. Step 5: Solve for x
    x = 675,418,063,138,227,584/1,099,693,821.70
  6. Step 6: Final answer
    x = 614,187,376.35

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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.