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Finding the Fourth Proportional to 278,227.76, 417,383.30 and 100,776.20

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Solution

The fourth proportional to 278,227.76, 417,383.30 and 100,776.20 is: 151,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,227.76 : 417,383.30 = 100,776.20 : x
  2. Step 2: Convert to fraction form
    278,227.76/417,383.30 = 100,776.20/x
  3. Step 3: Cross multiply
    278,227.76x = 417,383.30 × 100,776.20
  4. Step 4: Simplify right side
    278,227.76x = 42,062,301,082.48
  5. Step 5: Solve for x
    x = 42,062,301,082.48/278,227.76
  6. Step 6: Final answer
    x = 151,179.39

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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.