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Finding the Fourth Proportional to 325,564.80, 488,347.20 and 231,086.40

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Solution

The fourth proportional to 325,564.80, 488,347.20 and 231,086.40 is: 346,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,564.80 : 488,347.20 = 231,086.40 : x
  2. Step 2: Convert to fraction form
    325,564.80/488,347.20 = 231,086.40/x
  3. Step 3: Cross multiply
    325,564.80x = 488,347.20 × 231,086.40
  4. Step 4: Simplify right side
    325,564.80x = 112,850,396,398.08
  5. Step 5: Solve for x
    x = 112,850,396,398.08/325,564.80
  6. Step 6: Final answer
    x = 346,629.60

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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.