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Finding the Fourth Proportional to 442,082.89, 663,253.71 and 142,557.45

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Solution

The fourth proportional to 442,082.89, 663,253.71 and 142,557.45 is: 213,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,082.89 : 663,253.71 = 142,557.45 : x
  2. Step 2: Convert to fraction form
    442,082.89/663,253.71 = 142,557.45/x
  3. Step 3: Cross multiply
    442,082.89x = 663,253.71 × 142,557.45
  4. Step 4: Simplify right side
    442,082.89x = 94,551,757,600.64
  5. Step 5: Solve for x
    x = 94,551,757,600.64/442,082.89
  6. Step 6: Final answer
    x = 213,877.89

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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.