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Finding the Fourth Proportional to 356,286.72, 491,681.28 and 195,138.88

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Solution

The fourth proportional to 356,286.72, 491,681.28 and 195,138.88 is: 269,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,286.72 : 491,681.28 = 195,138.88 : x
  2. Step 2: Convert to fraction form
    356,286.72/491,681.28 = 195,138.88/x
  3. Step 3: Cross multiply
    356,286.72x = 491,681.28 × 195,138.88
  4. Step 4: Simplify right side
    356,286.72x = 95,946,134,296.17
  5. Step 5: Solve for x
    x = 95,946,134,296.17/356,286.72
  6. Step 6: Final answer
    x = 269,294.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.