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Finding the Fourth Proportional to 312,715.56, 431,759.31 and 198,095.91

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Solution

The fourth proportional to 312,715.56, 431,759.31 and 198,095.91 is: 273,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,715.56 : 431,759.31 = 198,095.91 : x
  2. Step 2: Convert to fraction form
    312,715.56/431,759.31 = 198,095.91/x
  3. Step 3: Cross multiply
    312,715.56x = 431,759.31 × 198,095.91
  4. Step 4: Simplify right side
    312,715.56x = 85,529,753,415.42
  5. Step 5: Solve for x
    x = 85,529,753,415.42/312,715.56
  6. Step 6: Final answer
    x = 273,506.55

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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.