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Finding the Fourth Proportional to 253,819.30, 380,461.02 and 85,179.74

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Solution

The fourth proportional to 253,819.30, 380,461.02 and 85,179.74 is: 127,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,819.30 : 380,461.02 = 85,179.74 : x
  2. Step 2: Convert to fraction form
    253,819.30/380,461.02 = 85,179.74/x
  3. Step 3: Cross multiply
    253,819.30x = 380,461.02 × 85,179.74
  4. Step 4: Simplify right side
    253,819.30x = 32,407,570,763.73
  5. Step 5: Solve for x
    x = 32,407,570,763.73/253,819.30
  6. Step 6: Final answer
    x = 127,679.69

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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.