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Finding the Fourth Proportional to 258,182.98, 386,445.66 and 137,939.44

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Solution

The fourth proportional to 258,182.98, 386,445.66 and 137,939.44 is: 206,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,182.98 : 386,445.66 = 137,939.44 : x
  2. Step 2: Convert to fraction form
    258,182.98/386,445.66 = 137,939.44/x
  3. Step 3: Cross multiply
    258,182.98x = 386,445.66 × 137,939.44
  4. Step 4: Simplify right side
    258,182.98x = 53,306,097,930.83
  5. Step 5: Solve for x
    x = 53,306,097,930.83/258,182.98
  6. Step 6: Final answer
    x = 206,466.35

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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.