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Finding the Fourth Proportional to 278,642.85, 417,832.52 and 107,944.52

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Solution

The fourth proportional to 278,642.85, 417,832.52 and 107,944.52 is: 161,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.85 : 417,832.52 = 107,944.52 : x
  2. Step 2: Convert to fraction form
    278,642.85/417,832.52 = 107,944.52/x
  3. Step 3: Cross multiply
    278,642.85x = 417,832.52 × 107,944.52
  4. Step 4: Simplify right side
    278,642.85x = 45,102,730,811.79
  5. Step 5: Solve for x
    x = 45,102,730,811.79/278,642.85
  6. Step 6: Final answer
    x = 161,865.74

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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.