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Finding the Fourth Proportional to 257,874.96, 385,047.60 and 231,047.76

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Solution

The fourth proportional to 257,874.96, 385,047.60 and 231,047.76 is: 344,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,874.96 : 385,047.60 = 231,047.76 : x
  2. Step 2: Convert to fraction form
    257,874.96/385,047.60 = 231,047.76/x
  3. Step 3: Cross multiply
    257,874.96x = 385,047.60 × 231,047.76
  4. Step 4: Simplify right side
    257,874.96x = 88,964,385,473.38
  5. Step 5: Solve for x
    x = 88,964,385,473.38/257,874.96
  6. Step 6: Final answer
    x = 344,990.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.