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Finding the Fourth Proportional to 280,732.98, 420,974.34 and 81,005.92

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Solution

The fourth proportional to 280,732.98, 420,974.34 and 81,005.92 is: 121,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,732.98 : 420,974.34 = 81,005.92 : x
  2. Step 2: Convert to fraction form
    280,732.98/420,974.34 = 81,005.92/x
  3. Step 3: Cross multiply
    280,732.98x = 420,974.34 × 81,005.92
  4. Step 4: Simplify right side
    280,732.98x = 34,101,413,708.09
  5. Step 5: Solve for x
    x = 34,101,413,708.09/280,732.98
  6. Step 6: Final answer
    x = 121,472.77

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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.