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Finding the Fourth Proportional to 278,366.84, 417,512.82 and 78,702.92

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Solution

The fourth proportional to 278,366.84, 417,512.82 and 78,702.92 is: 118,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,366.84 : 417,512.82 = 78,702.92 : x
  2. Step 2: Convert to fraction form
    278,366.84/417,512.82 = 78,702.92/x
  3. Step 3: Cross multiply
    278,366.84x = 417,512.82 × 78,702.92
  4. Step 4: Simplify right side
    278,366.84x = 32,859,478,071.43
  5. Step 5: Solve for x
    x = 32,859,478,071.43/278,366.84
  6. Step 6: Final answer
    x = 118,043.79

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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.