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Finding the Fourth Proportional to 257,890.80, 386,872.65 and 80,379.30

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Solution

The fourth proportional to 257,890.80, 386,872.65 and 80,379.30 is: 120,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,890.80 : 386,872.65 = 80,379.30 : x
  2. Step 2: Convert to fraction form
    257,890.80/386,872.65 = 80,379.30/x
  3. Step 3: Cross multiply
    257,890.80x = 386,872.65 × 80,379.30
  4. Step 4: Simplify right side
    257,890.80x = 31,096,552,796.15
  5. Step 5: Solve for x
    x = 31,096,552,796.15/257,890.80
  6. Step 6: Final answer
    x = 120,580.31

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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.