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Finding the Fourth Proportional to 499,354.92, 749,103.46 and 162,287.19

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Solution

The fourth proportional to 499,354.92, 749,103.46 and 162,287.19 is: 243,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,354.92 : 749,103.46 = 162,287.19 : x
  2. Step 2: Convert to fraction form
    499,354.92/749,103.46 = 162,287.19/x
  3. Step 3: Cross multiply
    499,354.92x = 749,103.46 × 162,287.19
  4. Step 4: Simplify right side
    499,354.92x = 121,569,895,136.96
  5. Step 5: Solve for x
    x = 121,569,895,136.96/499,354.92
  6. Step 6: Final answer
    x = 243,453.88

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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.