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Finding the Fourth Proportional to 305,689.82, 458,387.24 and 128,149.16

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Solution

The fourth proportional to 305,689.82, 458,387.24 and 128,149.16 is: 192,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,689.82 : 458,387.24 = 128,149.16 : x
  2. Step 2: Convert to fraction form
    305,689.82/458,387.24 = 128,149.16/x
  3. Step 3: Cross multiply
    305,689.82x = 458,387.24 × 128,149.16
  4. Step 4: Simplify right side
    305,689.82x = 58,741,936,828.04
  5. Step 5: Solve for x
    x = 58,741,936,828.04/305,689.82
  6. Step 6: Final answer
    x = 192,161.90

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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.