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Finding the Fourth Proportional to 502,402.85, 752,729.48 and 432,418.85

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Solution

The fourth proportional to 502,402.85, 752,729.48 and 432,418.85 is: 647,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,402.85 : 752,729.48 = 432,418.85 : x
  2. Step 2: Convert to fraction form
    502,402.85/752,729.48 = 432,418.85/x
  3. Step 3: Cross multiply
    502,402.85x = 752,729.48 × 432,418.85
  4. Step 4: Simplify right side
    502,402.85x = 325,494,413,940.60
  5. Step 5: Solve for x
    x = 325,494,413,940.60/502,402.85
  6. Step 6: Final answer
    x = 647,875.33

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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.