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Finding the Fourth Proportional to 714,691.14, 986,275.74 and 392,422.14

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Solution

The fourth proportional to 714,691.14, 986,275.74 and 392,422.14 is: 541,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,691.14 : 986,275.74 = 392,422.14 : x
  2. Step 2: Convert to fraction form
    714,691.14/986,275.74 = 392,422.14/x
  3. Step 3: Cross multiply
    714,691.14x = 986,275.74 × 392,422.14
  4. Step 4: Simplify right side
    714,691.14x = 387,036,436,520.88
  5. Step 5: Solve for x
    x = 387,036,436,520.88/714,691.14
  6. Step 6: Final answer
    x = 541,543.63

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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.