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Finding the Fourth Proportional to 328,138.91, 491,443.56 and 316,774.02

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Solution

The fourth proportional to 328,138.91, 491,443.56 and 316,774.02 is: 474,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,138.91 : 491,443.56 = 316,774.02 : x
  2. Step 2: Convert to fraction form
    328,138.91/491,443.56 = 316,774.02/x
  3. Step 3: Cross multiply
    328,138.91x = 491,443.56 × 316,774.02
  4. Step 4: Simplify right side
    328,138.91x = 155,676,552,104.31
  5. Step 5: Solve for x
    x = 155,676,552,104.31/328,138.91
  6. Step 6: Final answer
    x = 474,422.72

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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.