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Finding the Fourth Proportional to 709,010.64, 978,447.90 and 386,732.30

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Solution

The fourth proportional to 709,010.64, 978,447.90 and 386,732.30 is: 533,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,010.64 : 978,447.90 = 386,732.30 : x
  2. Step 2: Convert to fraction form
    709,010.64/978,447.90 = 386,732.30/x
  3. Step 3: Cross multiply
    709,010.64x = 978,447.90 × 386,732.30
  4. Step 4: Simplify right side
    709,010.64x = 378,397,406,797.17
  5. Step 5: Solve for x
    x = 378,397,406,797.17/709,010.64
  6. Step 6: Final answer
    x = 533,697.78

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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.