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Finding the Fourth Proportional to 380,842.20, 571,263.21 and 156,049.20

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Solution

The fourth proportional to 380,842.20, 571,263.21 and 156,049.20 is: 234,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,842.20 : 571,263.21 = 156,049.20 : x
  2. Step 2: Convert to fraction form
    380,842.20/571,263.21 = 156,049.20/x
  3. Step 3: Cross multiply
    380,842.20x = 571,263.21 × 156,049.20
  4. Step 4: Simplify right side
    380,842.20x = 89,145,166,909.93
  5. Step 5: Solve for x
    x = 89,145,166,909.93/380,842.20
  6. Step 6: Final answer
    x = 234,073.76

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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.