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Finding the Fourth Proportional to 378,159.72, 567,337.98 and 141,520.68

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Solution

The fourth proportional to 378,159.72, 567,337.98 and 141,520.68 is: 212,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,159.72 : 567,337.98 = 141,520.68 : x
  2. Step 2: Convert to fraction form
    378,159.72/567,337.98 = 141,520.68/x
  3. Step 3: Cross multiply
    378,159.72x = 567,337.98 × 141,520.68
  4. Step 4: Simplify right side
    378,159.72x = 80,290,056,719.43
  5. Step 5: Solve for x
    x = 80,290,056,719.43/378,159.72
  6. Step 6: Final answer
    x = 212,317.84

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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.