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Finding the Fourth Proportional to 327,878, 491,054.78 and 316,513.12

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Solution

The fourth proportional to 327,878, 491,054.78 and 316,513.12 is: 474,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,878 : 491,054.78 = 316,513.12 : x
  2. Step 2: Convert to fraction form
    327,878/491,054.78 = 316,513.12/x
  3. Step 3: Cross multiply
    327,878x = 491,054.78 × 316,513.12
  4. Step 4: Simplify right side
    327,878x = 155,425,280,508.71
  5. Step 5: Solve for x
    x = 155,425,280,508.71/327,878
  6. Step 6: Final answer
    x = 474,033.88

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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.