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Finding the Fourth Proportional to 709,321.16, 978,861.12 and 387,029

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Solution

The fourth proportional to 709,321.16, 978,861.12 and 387,029 is: 534,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,321.16 : 978,861.12 = 387,029 : x
  2. Step 2: Convert to fraction form
    709,321.16/978,861.12 = 387,029/x
  3. Step 3: Cross multiply
    709,321.16x = 978,861.12 × 387,029
  4. Step 4: Simplify right side
    709,321.16x = 378,847,640,412.48
  5. Step 5: Solve for x
    x = 378,847,640,412.48/709,321.16
  6. Step 6: Final answer
    x = 534,098.88

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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.