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Finding the Fourth Proportional to 378,234.27, 567,400.59 and 138,310.81

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Solution

The fourth proportional to 378,234.27, 567,400.59 and 138,310.81 is: 207,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,234.27 : 567,400.59 = 138,310.81 : x
  2. Step 2: Convert to fraction form
    378,234.27/567,400.59 = 138,310.81/x
  3. Step 3: Cross multiply
    378,234.27x = 567,400.59 × 138,310.81
  4. Step 4: Simplify right side
    378,234.27x = 78,477,635,197.38
  5. Step 5: Solve for x
    x = 78,477,635,197.38/378,234.27
  6. Step 6: Final answer
    x = 207,484.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.