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Finding the Fourth Proportional to 285,194.81, 428,212.76 and 159,081.46

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Solution

The fourth proportional to 285,194.81, 428,212.76 and 159,081.46 is: 238,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,194.81 : 428,212.76 = 159,081.46 : x
  2. Step 2: Convert to fraction form
    285,194.81/428,212.76 = 159,081.46/x
  3. Step 3: Cross multiply
    285,194.81x = 428,212.76 × 159,081.46
  4. Step 4: Simplify right side
    285,194.81x = 68,120,709,185.49
  5. Step 5: Solve for x
    x = 68,120,709,185.49/285,194.81
  6. Step 6: Final answer
    x = 238,856.76

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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.