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Finding the Fourth Proportional to 342,836.91, 514,587.05 and 165,468.78

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Solution

The fourth proportional to 342,836.91, 514,587.05 and 165,468.78 is: 248,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,836.91 : 514,587.05 = 165,468.78 : x
  2. Step 2: Convert to fraction form
    342,836.91/514,587.05 = 165,468.78/x
  3. Step 3: Cross multiply
    342,836.91x = 514,587.05 × 165,468.78
  4. Step 4: Simplify right side
    342,836.91x = 85,148,091,367.30
  5. Step 5: Solve for x
    x = 85,148,091,367.30/342,836.91
  6. Step 6: Final answer
    x = 248,363.26

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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.