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Finding the Fourth Proportional to 311,288.40, 466,932.60 and 86,648.40

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Solution

The fourth proportional to 311,288.40, 466,932.60 and 86,648.40 is: 129,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,288.40 : 466,932.60 = 86,648.40 : x
  2. Step 2: Convert to fraction form
    311,288.40/466,932.60 = 86,648.40/x
  3. Step 3: Cross multiply
    311,288.40x = 466,932.60 × 86,648.40
  4. Step 4: Simplify right side
    311,288.40x = 40,458,962,697.84
  5. Step 5: Solve for x
    x = 40,458,962,697.84/311,288.40
  6. Step 6: Final answer
    x = 129,972.60

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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.