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Finding the Fourth Proportional to 511,576.40, 767,363.40 and 137,599.76

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Solution

The fourth proportional to 511,576.40, 767,363.40 and 137,599.76 is: 206,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,576.40 : 767,363.40 = 137,599.76 : x
  2. Step 2: Convert to fraction form
    511,576.40/767,363.40 = 137,599.76/x
  3. Step 3: Cross multiply
    511,576.40x = 767,363.40 × 137,599.76
  4. Step 4: Simplify right side
    511,576.40x = 105,589,019,672.78
  5. Step 5: Solve for x
    x = 105,589,019,672.78/511,576.40
  6. Step 6: Final answer
    x = 206,399.32

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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.