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Finding the Fourth Proportional to 285,073.38, 427,892.49 and 253,260.63

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Solution

The fourth proportional to 285,073.38, 427,892.49 and 253,260.63 is: 380,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,073.38 : 427,892.49 = 253,260.63 : x
  2. Step 2: Convert to fraction form
    285,073.38/427,892.49 = 253,260.63/x
  3. Step 3: Cross multiply
    285,073.38x = 427,892.49 × 253,260.63
  4. Step 4: Simplify right side
    285,073.38x = 108,368,321,589.67
  5. Step 5: Solve for x
    x = 108,368,321,589.67/285,073.38
  6. Step 6: Final answer
    x = 380,141.85

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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.