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Finding the Fourth Proportional to 278,124.56, 417,186.03 and 100,630.88

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Solution

The fourth proportional to 278,124.56, 417,186.03 and 100,630.88 is: 150,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,124.56 : 417,186.03 = 100,630.88 : x
  2. Step 2: Convert to fraction form
    278,124.56/417,186.03 = 100,630.88/x
  3. Step 3: Cross multiply
    278,124.56x = 417,186.03 × 100,630.88
  4. Step 4: Simplify right side
    278,124.56x = 41,981,797,322.61
  5. Step 5: Solve for x
    x = 41,981,797,322.61/278,124.56
  6. Step 6: Final answer
    x = 150,946.03

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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.