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Finding the Fourth Proportional to 543,011.60, 814,190.16 and 243,438

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Solution

The fourth proportional to 543,011.60, 814,190.16 and 243,438 is: 365,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,011.60 : 814,190.16 = 243,438 : x
  2. Step 2: Convert to fraction form
    543,011.60/814,190.16 = 243,438/x
  3. Step 3: Cross multiply
    543,011.60x = 814,190.16 × 243,438
  4. Step 4: Simplify right side
    543,011.60x = 198,204,824,170.08
  5. Step 5: Solve for x
    x = 198,204,824,170.08/543,011.60
  6. Step 6: Final answer
    x = 365,010.29

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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.