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Finding the Fourth Proportional to 511,954.80, 768,369.60 and 228,082.20

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Solution

The fourth proportional to 511,954.80, 768,369.60 and 228,082.20 is: 342,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,954.80 : 768,369.60 = 228,082.20 : x
  2. Step 2: Convert to fraction form
    511,954.80/768,369.60 = 228,082.20/x
  3. Step 3: Cross multiply
    511,954.80x = 768,369.60 × 228,082.20
  4. Step 4: Simplify right side
    511,954.80x = 175,251,428,781.12
  5. Step 5: Solve for x
    x = 175,251,428,781.12/511,954.80
  6. Step 6: Final answer
    x = 342,318.17

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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.