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Finding the Fourth Proportional to 327,706.62, 491,750.92 and 138,155.34

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Solution

The fourth proportional to 327,706.62, 491,750.92 and 138,155.34 is: 207,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,706.62 : 491,750.92 = 138,155.34 : x
  2. Step 2: Convert to fraction form
    327,706.62/491,750.92 = 138,155.34/x
  3. Step 3: Cross multiply
    327,706.62x = 491,750.92 × 138,155.34
  4. Step 4: Simplify right side
    327,706.62x = 67,938,015,547.91
  5. Step 5: Solve for x
    x = 67,938,015,547.91/327,706.62
  6. Step 6: Final answer
    x = 207,313.53

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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.