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Finding the Fourth Proportional to 327,707.74, 491,752.68 and 138,156.49

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Solution

The fourth proportional to 327,707.74, 491,752.68 and 138,156.49 is: 207,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,707.74 : 491,752.68 = 138,156.49 : x
  2. Step 2: Convert to fraction form
    327,707.74/491,752.68 = 138,156.49/x
  3. Step 3: Cross multiply
    327,707.74x = 491,752.68 × 138,156.49
  4. Step 4: Simplify right side
    327,707.74x = 67,938,824,216.89
  5. Step 5: Solve for x
    x = 67,938,824,216.89/327,707.74
  6. Step 6: Final answer
    x = 207,315.29

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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.