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Finding the Fourth Proportional to 420,689.75, 580,257.27 and 284,663.82

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Solution

The fourth proportional to 420,689.75, 580,257.27 and 284,663.82 is: 392,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,689.75 : 580,257.27 = 284,663.82 : x
  2. Step 2: Convert to fraction form
    420,689.75/580,257.27 = 284,663.82/x
  3. Step 3: Cross multiply
    420,689.75x = 580,257.27 × 284,663.82
  4. Step 4: Simplify right side
    420,689.75x = 165,178,251,060.97
  5. Step 5: Solve for x
    x = 165,178,251,060.97/420,689.75
  6. Step 6: Final answer
    x = 392,636.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.