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Finding the Fourth Proportional to 311,191.56, 466,787.34 and 86,542.92

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Solution

The fourth proportional to 311,191.56, 466,787.34 and 86,542.92 is: 129,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,191.56 : 466,787.34 = 86,542.92 : x
  2. Step 2: Convert to fraction form
    311,191.56/466,787.34 = 86,542.92/x
  3. Step 3: Cross multiply
    311,191.56x = 466,787.34 × 86,542.92
  4. Step 4: Simplify right side
    311,191.56x = 40,397,139,422.63
  5. Step 5: Solve for x
    x = 40,397,139,422.63/311,191.56
  6. Step 6: Final answer
    x = 129,814.38

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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.