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Finding the Fourth Proportional to 502,013.60, 752,514.96 and 221,481.44

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Solution

The fourth proportional to 502,013.60, 752,514.96 and 221,481.44 is: 331,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,013.60 : 752,514.96 = 221,481.44 : x
  2. Step 2: Convert to fraction form
    502,013.60/752,514.96 = 221,481.44/x
  3. Step 3: Cross multiply
    502,013.60x = 752,514.96 × 221,481.44
  4. Step 4: Simplify right side
    502,013.60x = 166,668,096,962.34
  5. Step 5: Solve for x
    x = 166,668,096,962.34/502,013.60
  6. Step 6: Final answer
    x = 331,999.17

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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.