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Finding the Fourth Proportional to 327,952.53, 491,166 and 316,587.78

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Solution

The fourth proportional to 327,952.53, 491,166 and 316,587.78 is: 474,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,952.53 : 491,166 = 316,587.78 : x
  2. Step 2: Convert to fraction form
    327,952.53/491,166 = 316,587.78/x
  3. Step 3: Cross multiply
    327,952.53x = 491,166 × 316,587.78
  4. Step 4: Simplify right side
    327,952.53x = 155,497,153,551.48
  5. Step 5: Solve for x
    x = 155,497,153,551.48/327,952.53
  6. Step 6: Final answer
    x = 474,145.31

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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.