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Finding the Fourth Proportional to 285,632.76, 394,145.64 and 158,305.80

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Solution

The fourth proportional to 285,632.76, 394,145.64 and 158,305.80 is: 218,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,632.76 : 394,145.64 = 158,305.80 : x
  2. Step 2: Convert to fraction form
    285,632.76/394,145.64 = 158,305.80/x
  3. Step 3: Cross multiply
    285,632.76x = 394,145.64 × 158,305.80
  4. Step 4: Simplify right side
    285,632.76x = 62,395,540,856.71
  5. Step 5: Solve for x
    x = 62,395,540,856.71/285,632.76
  6. Step 6: Final answer
    x = 218,446.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.