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Finding the Fourth Proportional to 714,884.13, 987,419.57 and 534,402

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Solution

The fourth proportional to 714,884.13, 987,419.57 and 534,402 is: 738,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,884.13 : 987,419.57 = 534,402 : x
  2. Step 2: Convert to fraction form
    714,884.13/987,419.57 = 534,402/x
  3. Step 3: Cross multiply
    714,884.13x = 987,419.57 × 534,402
  4. Step 4: Simplify right side
    714,884.13x = 527,678,990,375.13
  5. Step 5: Solve for x
    x = 527,678,990,375.13/714,884.13
  6. Step 6: Final answer
    x = 738,132.19

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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.