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Finding the Fourth Proportional to 270,422.40, 405,979.20 and 144,163.20

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Solution

The fourth proportional to 270,422.40, 405,979.20 and 144,163.20 is: 216,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,422.40 : 405,979.20 = 144,163.20 : x
  2. Step 2: Convert to fraction form
    270,422.40/405,979.20 = 144,163.20/x
  3. Step 3: Cross multiply
    270,422.40x = 405,979.20 × 144,163.20
  4. Step 4: Simplify right side
    270,422.40x = 58,527,260,605.44
  5. Step 5: Solve for x
    x = 58,527,260,605.44/270,422.40
  6. Step 6: Final answer
    x = 216,429.04

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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.