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Finding the Fourth Proportional to 342,687.96, 514,244.52 and 165,213

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Solution

The fourth proportional to 342,687.96, 514,244.52 and 165,213 is: 247,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,687.96 : 514,244.52 = 165,213 : x
  2. Step 2: Convert to fraction form
    342,687.96/514,244.52 = 165,213/x
  3. Step 3: Cross multiply
    342,687.96x = 514,244.52 × 165,213
  4. Step 4: Simplify right side
    342,687.96x = 84,959,879,882.76
  5. Step 5: Solve for x
    x = 84,959,879,882.76/342,687.96
  6. Step 6: Final answer
    x = 247,921.99

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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.