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Finding the Fourth Proportional to 709,248.52, 978,766.20 and 386,965.30

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Solution

The fourth proportional to 709,248.52, 978,766.20 and 386,965.30 is: 534,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,248.52 : 978,766.20 = 386,965.30 : x
  2. Step 2: Convert to fraction form
    709,248.52/978,766.20 = 386,965.30/x
  3. Step 3: Cross multiply
    709,248.52x = 978,766.20 × 386,965.30
  4. Step 4: Simplify right side
    709,248.52x = 378,748,556,212.86
  5. Step 5: Solve for x
    x = 378,748,556,212.86/709,248.52
  6. Step 6: Final answer
    x = 534,013.88

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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.