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Finding the Fourth Proportional to 543,546.40, 814,930.80 and 243,781.60

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Solution

The fourth proportional to 543,546.40, 814,930.80 and 243,781.60 is: 365,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,546.40 : 814,930.80 = 243,781.60 : x
  2. Step 2: Convert to fraction form
    543,546.40/814,930.80 = 243,781.60/x
  3. Step 3: Cross multiply
    543,546.40x = 814,930.80 × 243,781.60
  4. Step 4: Simplify right side
    543,546.40x = 198,665,134,313.28
  5. Step 5: Solve for x
    x = 198,665,134,313.28/543,546.40
  6. Step 6: Final answer
    x = 365,498.02

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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.