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Finding the Fourth Proportional to 311,306.13, 429,633 and 182,236.82

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Solution

The fourth proportional to 311,306.13, 429,633 and 182,236.82 is: 251,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,306.13 : 429,633 = 182,236.82 : x
  2. Step 2: Convert to fraction form
    311,306.13/429,633 = 182,236.82/x
  3. Step 3: Cross multiply
    311,306.13x = 429,633 × 182,236.82
  4. Step 4: Simplify right side
    311,306.13x = 78,294,949,538.90
  5. Step 5: Solve for x
    x = 78,294,949,538.90/311,306.13
  6. Step 6: Final answer
    x = 251,504.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.