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Finding the Fourth Proportional to 277,414.70, 416,123.82 and 90,426.20

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Solution

The fourth proportional to 277,414.70, 416,123.82 and 90,426.20 is: 135,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,414.70 : 416,123.82 = 90,426.20 : x
  2. Step 2: Convert to fraction form
    277,414.70/416,123.82 = 90,426.20/x
  3. Step 3: Cross multiply
    277,414.70x = 416,123.82 × 90,426.20
  4. Step 4: Simplify right side
    277,414.70x = 37,628,493,691.46
  5. Step 5: Solve for x
    x = 37,628,493,691.46/277,414.70
  6. Step 6: Final answer
    x = 135,639.87

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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.