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Finding the Fourth Proportional to 549,200.70, 824,287.05 and 324,279.90

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Solution

The fourth proportional to 549,200.70, 824,287.05 and 324,279.90 is: 486,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,200.70 : 824,287.05 = 324,279.90 : x
  2. Step 2: Convert to fraction form
    549,200.70/824,287.05 = 324,279.90/x
  3. Step 3: Cross multiply
    549,200.70x = 824,287.05 × 324,279.90
  4. Step 4: Simplify right side
    549,200.70x = 267,299,722,145.30
  5. Step 5: Solve for x
    x = 267,299,722,145.30/549,200.70
  6. Step 6: Final answer
    x = 486,706.81

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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.