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Finding the Fourth Proportional to 413,743.70, 620,615.55 and 394,498.10

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Solution

The fourth proportional to 413,743.70, 620,615.55 and 394,498.10 is: 591,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,743.70 : 620,615.55 = 394,498.10 : x
  2. Step 2: Convert to fraction form
    413,743.70/620,615.55 = 394,498.10/x
  3. Step 3: Cross multiply
    413,743.70x = 620,615.55 × 394,498.10
  4. Step 4: Simplify right side
    413,743.70x = 244,831,655,305.46
  5. Step 5: Solve for x
    x = 244,831,655,305.46/413,743.70
  6. Step 6: Final answer
    x = 591,747.15

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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.