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Finding the Fourth Proportional to 312,872.86, 431,732.58 and 192,019.24

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Solution

The fourth proportional to 312,872.86, 431,732.58 and 192,019.24 is: 264,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,872.86 : 431,732.58 = 192,019.24 : x
  2. Step 2: Convert to fraction form
    312,872.86/431,732.58 = 192,019.24/x
  3. Step 3: Cross multiply
    312,872.86x = 431,732.58 × 192,019.24
  4. Step 4: Simplify right side
    312,872.86x = 82,900,959,736.18
  5. Step 5: Solve for x
    x = 82,900,959,736.18/312,872.86
  6. Step 6: Final answer
    x = 264,966.93

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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.