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Finding the Fourth Proportional to 278,481.42, 417,738.23 and 78,785.08

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Solution

The fourth proportional to 278,481.42, 417,738.23 and 78,785.08 is: 118,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,481.42 : 417,738.23 = 78,785.08 : x
  2. Step 2: Convert to fraction form
    278,481.42/417,738.23 = 78,785.08/x
  3. Step 3: Cross multiply
    278,481.42x = 417,738.23 × 78,785.08
  4. Step 4: Simplify right side
    278,481.42x = 32,911,539,869.61
  5. Step 5: Solve for x
    x = 32,911,539,869.61/278,481.42
  6. Step 6: Final answer
    x = 118,182.17

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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.