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Finding the Fourth Proportional to 442,853.28, 664,385.34 and 143,333.88

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Solution

The fourth proportional to 442,853.28, 664,385.34 and 143,333.88 is: 215,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.28 : 664,385.34 = 143,333.88 : x
  2. Step 2: Convert to fraction form
    442,853.28/664,385.34 = 143,333.88/x
  3. Step 3: Cross multiply
    442,853.28x = 664,385.34 × 143,333.88
  4. Step 4: Simplify right side
    442,853.28x = 95,228,928,597.32
  5. Step 5: Solve for x
    x = 95,228,928,597.32/442,853.28
  6. Step 6: Final answer
    x = 215,034.94

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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.