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Finding the Fourth Proportional to 311,359.40, 466,974.30 and 86,661.80

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Solution

The fourth proportional to 311,359.40, 466,974.30 and 86,661.80 is: 129,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,359.40 : 466,974.30 = 86,661.80 : x
  2. Step 2: Convert to fraction form
    311,359.40/466,974.30 = 86,661.80/x
  3. Step 3: Cross multiply
    311,359.40x = 466,974.30 × 86,661.80
  4. Step 4: Simplify right side
    311,359.40x = 40,468,833,391.74
  5. Step 5: Solve for x
    x = 40,468,833,391.74/311,359.40
  6. Step 6: Final answer
    x = 129,974.66

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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.