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Finding the Fourth Proportional to 709,406.34, 978,972.68 and 387,121.92

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Solution

The fourth proportional to 709,406.34, 978,972.68 and 387,121.92 is: 534,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,406.34 : 978,972.68 = 387,121.92 : x
  2. Step 2: Convert to fraction form
    709,406.34/978,972.68 = 387,121.92/x
  3. Step 3: Cross multiply
    709,406.34x = 978,972.68 × 387,121.92
  4. Step 4: Simplify right side
    709,406.34x = 378,981,783,509.15
  5. Step 5: Solve for x
    x = 378,981,783,509.15/709,406.34
  6. Step 6: Final answer
    x = 534,223.85

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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.