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Finding the Fourth Proportional to 499,044.30, 748,780.89 and 162,188.20

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Solution

The fourth proportional to 499,044.30, 748,780.89 and 162,188.20 is: 243,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,044.30 : 748,780.89 = 162,188.20 : x
  2. Step 2: Convert to fraction form
    499,044.30/748,780.89 = 162,188.20/x
  3. Step 3: Cross multiply
    499,044.30x = 748,780.89 × 162,188.20
  4. Step 4: Simplify right side
    499,044.30x = 121,443,424,743.50
  5. Step 5: Solve for x
    x = 121,443,424,743.50/499,044.30
  6. Step 6: Final answer
    x = 243,351.99

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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.