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Finding the Fourth Proportional to 311,521.88, 467,282.77 and 74,864.55

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Solution

The fourth proportional to 311,521.88, 467,282.77 and 74,864.55 is: 112,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,521.88 : 467,282.77 = 74,864.55 : x
  2. Step 2: Convert to fraction form
    311,521.88/467,282.77 = 74,864.55/x
  3. Step 3: Cross multiply
    311,521.88x = 467,282.77 × 74,864.55
  4. Step 4: Simplify right side
    311,521.88x = 34,982,915,863.95
  5. Step 5: Solve for x
    x = 34,982,915,863.95/311,521.88
  6. Step 6: Final answer
    x = 112,296.82

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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.