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Finding the Fourth Proportional to 312,937.28, 431,930.88 and 205,652.96

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Solution

The fourth proportional to 312,937.28, 431,930.88 and 205,652.96 is: 283,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,937.28 : 431,930.88 = 205,652.96 : x
  2. Step 2: Convert to fraction form
    312,937.28/431,930.88 = 205,652.96/x
  3. Step 3: Cross multiply
    312,937.28x = 431,930.88 × 205,652.96
  4. Step 4: Simplify right side
    312,937.28x = 88,827,863,987.40
  5. Step 5: Solve for x
    x = 88,827,863,987.40/312,937.28
  6. Step 6: Final answer
    x = 283,851.97

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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.