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Finding the Fourth Proportional to 543,308.70, 814,963.05 and 431,334.30

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Solution

The fourth proportional to 543,308.70, 814,963.05 and 431,334.30 is: 647,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,308.70 : 814,963.05 = 431,334.30 : x
  2. Step 2: Convert to fraction form
    543,308.70/814,963.05 = 431,334.30/x
  3. Step 3: Cross multiply
    543,308.70x = 814,963.05 × 431,334.30
  4. Step 4: Simplify right side
    543,308.70x = 351,521,516,697.62
  5. Step 5: Solve for x
    x = 351,521,516,697.62/543,308.70
  6. Step 6: Final answer
    x = 647,001.45

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Double scale
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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.