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Finding the Fourth Proportional to 543,109.40, 814,664.10 and 344,311.10

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Solution

The fourth proportional to 543,109.40, 814,664.10 and 344,311.10 is: 516,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,109.40 : 814,664.10 = 344,311.10 : x
  2. Step 2: Convert to fraction form
    543,109.40/814,664.10 = 344,311.10/x
  3. Step 3: Cross multiply
    543,109.40x = 814,664.10 × 344,311.10
  4. Step 4: Simplify right side
    543,109.40x = 280,497,892,401.51
  5. Step 5: Solve for x
    x = 280,497,892,401.51/543,109.40
  6. Step 6: Final answer
    x = 516,466.65

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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.