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Finding the Fourth Proportional to 327,641.40, 491,437.80 and 138,052.80

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Solution

The fourth proportional to 327,641.40, 491,437.80 and 138,052.80 is: 207,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,641.40 : 491,437.80 = 138,052.80 : x
  2. Step 2: Convert to fraction form
    327,641.40/491,437.80 = 138,052.80/x
  3. Step 3: Cross multiply
    327,641.40x = 491,437.80 × 138,052.80
  4. Step 4: Simplify right side
    327,641.40x = 67,844,364,315.84
  5. Step 5: Solve for x
    x = 67,844,364,315.84/327,641.40
  6. Step 6: Final answer
    x = 207,068.96

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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.