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Finding the Fourth Proportional to 225,686.40, 338,432.40 and 113,323.20

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Solution

The fourth proportional to 225,686.40, 338,432.40 and 113,323.20 is: 169,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.40 : 338,432.40 = 113,323.20 : x
  2. Step 2: Convert to fraction form
    225,686.40/338,432.40 = 113,323.20/x
  3. Step 3: Cross multiply
    225,686.40x = 338,432.40 × 113,323.20
  4. Step 4: Simplify right side
    225,686.40x = 38,352,242,551.68
  5. Step 5: Solve for x
    x = 38,352,242,551.68/225,686.40
  6. Step 6: Final answer
    x = 169,935.99

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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.