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Finding the Fourth Proportional to 343,234.20, 514,997.10 and 165,649.80

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Solution

The fourth proportional to 343,234.20, 514,997.10 and 165,649.80 is: 248,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,234.20 : 514,997.10 = 165,649.80 : x
  2. Step 2: Convert to fraction form
    343,234.20/514,997.10 = 165,649.80/x
  3. Step 3: Cross multiply
    343,234.20x = 514,997.10 × 165,649.80
  4. Step 4: Simplify right side
    343,234.20x = 85,309,166,615.58
  5. Step 5: Solve for x
    x = 85,309,166,615.58/343,234.20
  6. Step 6: Final answer
    x = 248,545.07

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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.