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Finding the Fourth Proportional to 311,471, 467,264.82 and 145,259

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Solution

The fourth proportional to 311,471, 467,264.82 and 145,259 is: 217,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,471 : 467,264.82 = 145,259 : x
  2. Step 2: Convert to fraction form
    311,471/467,264.82 = 145,259/x
  3. Step 3: Cross multiply
    311,471x = 467,264.82 × 145,259
  4. Step 4: Simplify right side
    311,471x = 67,874,420,488.38
  5. Step 5: Solve for x
    x = 67,874,420,488.38/311,471
  6. Step 6: Final answer
    x = 217,915.70

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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.