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Finding the Fourth Proportional to 378,286.89, 567,565.85 and 162,054.92

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Solution

The fourth proportional to 378,286.89, 567,565.85 and 162,054.92 is: 243,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,286.89 : 567,565.85 = 162,054.92 : x
  2. Step 2: Convert to fraction form
    378,286.89/567,565.85 = 162,054.92/x
  3. Step 3: Cross multiply
    378,286.89x = 567,565.85 × 162,054.92
  4. Step 4: Simplify right side
    378,286.89x = 91,976,834,768.38
  5. Step 5: Solve for x
    x = 91,976,834,768.38/378,286.89
  6. Step 6: Final answer
    x = 243,140.42

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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.