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Finding the Fourth Proportional to 511,576.56, 767,364.30 and 137,599.56

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Solution

The fourth proportional to 511,576.56, 767,364.30 and 137,599.56 is: 206,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,576.56 : 767,364.30 = 137,599.56 : x
  2. Step 2: Convert to fraction form
    511,576.56/767,364.30 = 137,599.56/x
  3. Step 3: Cross multiply
    511,576.56x = 767,364.30 × 137,599.56
  4. Step 4: Simplify right side
    511,576.56x = 105,588,990,039.71
  5. Step 5: Solve for x
    x = 105,588,990,039.71/511,576.56
  6. Step 6: Final answer
    x = 206,399.19

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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.