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Finding the Fourth Proportional to 285,411.38, 428,121.24 and 135,667.04

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Solution

The fourth proportional to 285,411.38, 428,121.24 and 135,667.04 is: 203,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,411.38 : 428,121.24 = 135,667.04 : x
  2. Step 2: Convert to fraction form
    285,411.38/428,121.24 = 135,667.04/x
  3. Step 3: Cross multiply
    285,411.38x = 428,121.24 × 135,667.04
  4. Step 4: Simplify right side
    285,411.38x = 58,081,941,391.93
  5. Step 5: Solve for x
    x = 58,081,941,391.93/285,411.38
  6. Step 6: Final answer
    x = 203,502.54

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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.