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Finding the Fourth Proportional to 378,624.64, 567,771.28 and 141,801.28

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Solution

The fourth proportional to 378,624.64, 567,771.28 and 141,801.28 is: 212,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,624.64 : 567,771.28 = 141,801.28 : x
  2. Step 2: Convert to fraction form
    378,624.64/567,771.28 = 141,801.28/x
  3. Step 3: Cross multiply
    378,624.64x = 567,771.28 × 141,801.28
  4. Step 4: Simplify right side
    378,624.64x = 80,510,694,251.24
  5. Step 5: Solve for x
    x = 80,510,694,251.24/378,624.64
  6. Step 6: Final answer
    x = 212,639.87

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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.