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Finding the Fourth Proportional to 342,857.12, 514,319.49 and 118,187.97

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Solution

The fourth proportional to 342,857.12, 514,319.49 and 118,187.97 is: 177,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,857.12 : 514,319.49 = 118,187.97 : x
  2. Step 2: Convert to fraction form
    342,857.12/514,319.49 = 118,187.97/x
  3. Step 3: Cross multiply
    342,857.12x = 514,319.49 × 118,187.97
  4. Step 4: Simplify right side
    342,857.12x = 60,786,376,454.54
  5. Step 5: Solve for x
    x = 60,786,376,454.54/342,857.12
  6. Step 6: Final answer
    x = 177,293.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.