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Finding the Fourth Proportional to 709,356.69, 978,935.85 and 387,084.47

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Solution

The fourth proportional to 709,356.69, 978,935.85 and 387,084.47 is: 534,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,356.69 : 978,935.85 = 387,084.47 : x
  2. Step 2: Convert to fraction form
    709,356.69/978,935.85 = 387,084.47/x
  3. Step 3: Cross multiply
    709,356.69x = 978,935.85 × 387,084.47
  4. Step 4: Simplify right side
    709,356.69x = 378,930,859,766.57
  5. Step 5: Solve for x
    x = 378,930,859,766.57/709,356.69
  6. Step 6: Final answer
    x = 534,189.45

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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.