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Finding the Fourth Proportional to 311,854.32, 467,777.40 and 75,195.12

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Solution

The fourth proportional to 311,854.32, 467,777.40 and 75,195.12 is: 112,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854.32 : 467,777.40 = 75,195.12 : x
  2. Step 2: Convert to fraction form
    311,854.32/467,777.40 = 75,195.12/x
  3. Step 3: Cross multiply
    311,854.32x = 467,777.40 × 75,195.12
  4. Step 4: Simplify right side
    311,854.32x = 35,174,577,726.29
  5. Step 5: Solve for x
    x = 35,174,577,726.29/311,854.32
  6. Step 6: Final answer
    x = 112,791.70

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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.