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Finding the Fourth Proportional to 278,179.56, 417,085 and 100,663.48

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Solution

The fourth proportional to 278,179.56, 417,085 and 100,663.48 is: 150,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,179.56 : 417,085 = 100,663.48 : x
  2. Step 2: Convert to fraction form
    278,179.56/417,085 = 100,663.48/x
  3. Step 3: Cross multiply
    278,179.56x = 417,085 × 100,663.48
  4. Step 4: Simplify right side
    278,179.56x = 41,985,227,555.80
  5. Step 5: Solve for x
    x = 41,985,227,555.80/278,179.56
  6. Step 6: Final answer
    x = 150,928.51

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1.5x scale

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.