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Finding the Fourth Proportional to 325,678.40, 488,517.60 and 115,246.40

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Solution

The fourth proportional to 325,678.40, 488,517.60 and 115,246.40 is: 172,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,678.40 : 488,517.60 = 115,246.40 : x
  2. Step 2: Convert to fraction form
    325,678.40/488,517.60 = 115,246.40/x
  3. Step 3: Cross multiply
    325,678.40x = 488,517.60 × 115,246.40
  4. Step 4: Simplify right side
    325,678.40x = 56,299,894,736.64
  5. Step 5: Solve for x
    x = 56,299,894,736.64/325,678.40
  6. Step 6: Final answer
    x = 172,869.60

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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.