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Finding the Fourth Proportional to 428,144.92, 642,291.58 and 143,863.20

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Solution

The fourth proportional to 428,144.92, 642,291.58 and 143,863.20 is: 215,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,144.92 : 642,291.58 = 143,863.20 : x
  2. Step 2: Convert to fraction form
    428,144.92/642,291.58 = 143,863.20/x
  3. Step 3: Cross multiply
    428,144.92x = 642,291.58 × 143,863.20
  4. Step 4: Simplify right side
    428,144.92x = 92,402,122,031.86
  5. Step 5: Solve for x
    x = 92,402,122,031.86/428,144.92
  6. Step 6: Final answer
    x = 215,819.73

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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.