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Finding the Fourth Proportional to 310,081.28, 465,170.80 and 132,589.28

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Solution

The fourth proportional to 310,081.28, 465,170.80 and 132,589.28 is: 198,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,081.28 : 465,170.80 = 132,589.28 : x
  2. Step 2: Convert to fraction form
    310,081.28/465,170.80 = 132,589.28/x
  3. Step 3: Cross multiply
    310,081.28x = 465,170.80 × 132,589.28
  4. Step 4: Simplify right side
    310,081.28x = 61,676,661,449.02
  5. Step 5: Solve for x
    x = 61,676,661,449.02/310,081.28
  6. Step 6: Final answer
    x = 198,904.82

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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.