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Finding the Fourth Proportional to 511,247.40, 766,863.90 and 230,764.20

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Solution

The fourth proportional to 511,247.40, 766,863.90 and 230,764.20 is: 346,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,247.40 : 766,863.90 = 230,764.20 : x
  2. Step 2: Convert to fraction form
    511,247.40/766,863.90 = 230,764.20/x
  3. Step 3: Cross multiply
    511,247.40x = 766,863.90 × 230,764.20
  4. Step 4: Simplify right side
    511,247.40x = 176,964,734,392.38
  5. Step 5: Solve for x
    x = 176,964,734,392.38/511,247.40
  6. Step 6: Final answer
    x = 346,143.05

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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.