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Finding the Fourth Proportional to 747,540, 1,031,700.24 and 493,420.32

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Solution

The fourth proportional to 747,540, 1,031,700.24 and 493,420.32 is: 680,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,540 : 1,031,700.24 = 493,420.32 : x
  2. Step 2: Convert to fraction form
    747,540/1,031,700.24 = 493,420.32/x
  3. Step 3: Cross multiply
    747,540x = 1,031,700.24 × 493,420.32
  4. Step 4: Simplify right side
    747,540x = 509,061,862,564.88
  5. Step 5: Solve for x
    x = 509,061,862,564.88/747,540
  6. Step 6: Final answer
    x = 680,982.77

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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.