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Finding the Fourth Proportional to 343,402.60, 514,739.40 and 165,793.90

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Solution

The fourth proportional to 343,402.60, 514,739.40 and 165,793.90 is: 248,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,402.60 : 514,739.40 = 165,793.90 : x
  2. Step 2: Convert to fraction form
    343,402.60/514,739.40 = 165,793.90/x
  3. Step 3: Cross multiply
    343,402.60x = 514,739.40 × 165,793.90
  4. Step 4: Simplify right side
    343,402.60x = 85,340,652,609.66
  5. Step 5: Solve for x
    x = 85,340,652,609.66/343,402.60
  6. Step 6: Final answer
    x = 248,514.87

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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.