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Finding the Fourth Proportional to 378,400.74, 567,601.11 and 141,679.86

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Solution

The fourth proportional to 378,400.74, 567,601.11 and 141,679.86 is: 212,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,400.74 : 567,601.11 = 141,679.86 : x
  2. Step 2: Convert to fraction form
    378,400.74/567,601.11 = 141,679.86/x
  3. Step 3: Cross multiply
    378,400.74x = 567,601.11 × 141,679.86
  4. Step 4: Simplify right side
    378,400.74x = 80,417,645,800.64
  5. Step 5: Solve for x
    x = 80,417,645,800.64/378,400.74
  6. Step 6: Final answer
    x = 212,519.79

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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.