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Finding the Fourth Proportional to 747,915, 1,031,598.90 and 506,091.12

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Solution

The fourth proportional to 747,915, 1,031,598.90 and 506,091.12 is: 698,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,915 : 1,031,598.90 = 506,091.12 : x
  2. Step 2: Convert to fraction form
    747,915/1,031,598.90 = 506,091.12/x
  3. Step 3: Cross multiply
    747,915x = 1,031,598.90 × 506,091.12
  4. Step 4: Simplify right side
    747,915x = 522,083,042,691.77
  5. Step 5: Solve for x
    x = 522,083,042,691.77/747,915
  6. Step 6: Final answer
    x = 698,051.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.