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Finding the Fourth Proportional to 276,712.20, 415,068.30 and 164,737.80

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Solution

The fourth proportional to 276,712.20, 415,068.30 and 164,737.80 is: 247,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,712.20 : 415,068.30 = 164,737.80 : x
  2. Step 2: Convert to fraction form
    276,712.20/415,068.30 = 164,737.80/x
  3. Step 3: Cross multiply
    276,712.20x = 415,068.30 × 164,737.80
  4. Step 4: Simplify right side
    276,712.20x = 68,377,438,591.74
  5. Step 5: Solve for x
    x = 68,377,438,591.74/276,712.20
  6. Step 6: Final answer
    x = 247,106.70

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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.