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Finding the Fourth Proportional to 327,079.68, 490,809.88 and 137,526.32

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Solution

The fourth proportional to 327,079.68, 490,809.88 and 137,526.32 is: 206,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,079.68 : 490,809.88 = 137,526.32 : x
  2. Step 2: Convert to fraction form
    327,079.68/490,809.88 = 137,526.32/x
  3. Step 3: Cross multiply
    327,079.68x = 490,809.88 × 137,526.32
  4. Step 4: Simplify right side
    327,079.68x = 67,499,276,616.04
  5. Step 5: Solve for x
    x = 67,499,276,616.04/327,079.68
  6. Step 6: Final answer
    x = 206,369.52

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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.