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Finding the Fourth Proportional to 312,711.75, 431,306.10 and 196,459.02

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Solution

The fourth proportional to 312,711.75, 431,306.10 and 196,459.02 is: 270,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,711.75 : 431,306.10 = 196,459.02 : x
  2. Step 2: Convert to fraction form
    312,711.75/431,306.10 = 196,459.02/x
  3. Step 3: Cross multiply
    312,711.75x = 431,306.10 × 196,459.02
  4. Step 4: Simplify right side
    312,711.75x = 84,733,973,726.02
  5. Step 5: Solve for x
    x = 84,733,973,726.02/312,711.75
  6. Step 6: Final answer
    x = 270,965.11

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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.