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Finding the Fourth Proportional to 281,587.40, 422,532.82 and 204,658.76

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Solution

The fourth proportional to 281,587.40, 422,532.82 and 204,658.76 is: 307,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,587.40 : 422,532.82 = 204,658.76 : x
  2. Step 2: Convert to fraction form
    281,587.40/422,532.82 = 204,658.76/x
  3. Step 3: Cross multiply
    281,587.40x = 422,532.82 × 204,658.76
  4. Step 4: Simplify right side
    281,587.40x = 86,475,044,312.66
  5. Step 5: Solve for x
    x = 86,475,044,312.66/281,587.40
  6. Step 6: Final answer
    x = 307,098.42

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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.