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Finding the Fourth Proportional to 521,674.32, 782,542.20 and 147,666

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Solution

The fourth proportional to 521,674.32, 782,542.20 and 147,666 is: 221,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,674.32 : 782,542.20 = 147,666 : x
  2. Step 2: Convert to fraction form
    521,674.32/782,542.20 = 147,666/x
  3. Step 3: Cross multiply
    521,674.32x = 782,542.20 × 147,666
  4. Step 4: Simplify right side
    521,674.32x = 115,554,876,505.20
  5. Step 5: Solve for x
    x = 115,554,876,505.20/521,674.32
  6. Step 6: Final answer
    x = 221,507.70

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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.