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Finding the Fourth Proportional to 678,765, 936,778.32 and 392,287.44

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Solution

The fourth proportional to 678,765, 936,778.32 and 392,287.44 is: 541,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,765 : 936,778.32 = 392,287.44 : x
  2. Step 2: Convert to fraction form
    678,765/936,778.32 = 392,287.44/x
  3. Step 3: Cross multiply
    678,765x = 936,778.32 × 392,287.44
  4. Step 4: Simplify right side
    678,765x = 367,486,369,000.30
  5. Step 5: Solve for x
    x = 367,486,369,000.30/678,765
  6. Step 6: Final answer
    x = 541,404.42

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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.