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Finding the Fourth Proportional to 511,439.60, 767,158.32 and 137,462.60

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Solution

The fourth proportional to 511,439.60, 767,158.32 and 137,462.60 is: 206,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,439.60 : 767,158.32 = 137,462.60 : x
  2. Step 2: Convert to fraction form
    511,439.60/767,158.32 = 137,462.60/x
  3. Step 3: Cross multiply
    511,439.60x = 767,158.32 × 137,462.60
  4. Step 4: Simplify right side
    511,439.60x = 105,455,577,278.83
  5. Step 5: Solve for x
    x = 105,455,577,278.83/511,439.60
  6. Step 6: Final answer
    x = 206,193.61

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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.