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Finding the Fourth Proportional to 542,805.10, 814,207.65 and 343,350.70

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Solution

The fourth proportional to 542,805.10, 814,207.65 and 343,350.70 is: 515,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,805.10 : 814,207.65 = 343,350.70 : x
  2. Step 2: Convert to fraction form
    542,805.10/814,207.65 = 343,350.70/x
  3. Step 3: Cross multiply
    542,805.10x = 814,207.65 × 343,350.70
  4. Step 4: Simplify right side
    542,805.10x = 279,558,766,572.86
  5. Step 5: Solve for x
    x = 279,558,766,572.86/542,805.10
  6. Step 6: Final answer
    x = 515,026.05

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Similar ratio
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1.5x scale

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.