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Finding the Fourth Proportional to 302,685.26, 454,027.89 and 142,723.97

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Solution

The fourth proportional to 302,685.26, 454,027.89 and 142,723.97 is: 214,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,685.26 : 454,027.89 = 142,723.97 : x
  2. Step 2: Convert to fraction form
    302,685.26/454,027.89 = 142,723.97/x
  3. Step 3: Cross multiply
    302,685.26x = 454,027.89 × 142,723.97
  4. Step 4: Simplify right side
    302,685.26x = 64,800,662,951.52
  5. Step 5: Solve for x
    x = 64,800,662,951.52/302,685.26
  6. Step 6: Final answer
    x = 214,085.96

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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.