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Finding the Fourth Proportional to 258,934.40, 389,276.40 and 220,443.20

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Solution

The fourth proportional to 258,934.40, 389,276.40 and 220,443.20 is: 331,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,934.40 : 389,276.40 = 220,443.20 : x
  2. Step 2: Convert to fraction form
    258,934.40/389,276.40 = 220,443.20/x
  3. Step 3: Cross multiply
    258,934.40x = 389,276.40 × 220,443.20
  4. Step 4: Simplify right side
    258,934.40x = 85,813,335,300.48
  5. Step 5: Solve for x
    x = 85,813,335,300.48/258,934.40
  6. Step 6: Final answer
    x = 331,409.56

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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.