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Finding the Fourth Proportional to 511,213.24, 766,863.06 and 137,256.76

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Solution

The fourth proportional to 511,213.24, 766,863.06 and 137,256.76 is: 205,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,213.24 : 766,863.06 = 137,256.76 : x
  2. Step 2: Convert to fraction form
    511,213.24/766,863.06 = 137,256.76/x
  3. Step 3: Cross multiply
    511,213.24x = 766,863.06 × 137,256.76
  4. Step 4: Simplify right side
    511,213.24x = 105,257,138,979.29
  5. Step 5: Solve for x
    x = 105,257,138,979.29/511,213.24
  6. Step 6: Final answer
    x = 205,896.74

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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.