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Finding the Fourth Proportional to 325,687.80, 488,531.70 and 115,298.40

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Solution

The fourth proportional to 325,687.80, 488,531.70 and 115,298.40 is: 172,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,687.80 : 488,531.70 = 115,298.40 : x
  2. Step 2: Convert to fraction form
    325,687.80/488,531.70 = 115,298.40/x
  3. Step 3: Cross multiply
    325,687.80x = 488,531.70 × 115,298.40
  4. Step 4: Simplify right side
    325,687.80x = 56,326,923,359.28
  5. Step 5: Solve for x
    x = 56,326,923,359.28/325,687.80
  6. Step 6: Final answer
    x = 172,947.60

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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.