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Finding the Fourth Proportional to 511,695.36, 767,525.76 and 137,704.32

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Solution

The fourth proportional to 511,695.36, 767,525.76 and 137,704.32 is: 206,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,695.36 : 767,525.76 = 137,704.32 : x
  2. Step 2: Convert to fraction form
    511,695.36/767,525.76 = 137,704.32/x
  3. Step 3: Cross multiply
    511,695.36x = 767,525.76 × 137,704.32
  4. Step 4: Simplify right side
    511,695.36x = 105,691,612,863.28
  5. Step 5: Solve for x
    x = 105,691,612,863.28/511,695.36
  6. Step 6: Final answer
    x = 206,551.83

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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.