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Finding the Fourth Proportional to 342,930.20, 514,411.71 and 165,586.37

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Solution

The fourth proportional to 342,930.20, 514,411.71 and 165,586.37 is: 248,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,930.20 : 514,411.71 = 165,586.37 : x
  2. Step 2: Convert to fraction form
    342,930.20/514,411.71 = 165,586.37/x
  3. Step 3: Cross multiply
    342,930.20x = 514,411.71 × 165,586.37
  4. Step 4: Simplify right side
    342,930.20x = 85,179,568,376.37
  5. Step 5: Solve for x
    x = 85,179,568,376.37/342,930.20
  6. Step 6: Final answer
    x = 248,387.48

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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.