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Finding the Fourth Proportional to 285,894, 394,275.48 and 178,473.96

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Solution

The fourth proportional to 285,894, 394,275.48 and 178,473.96 is: 246,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,894 : 394,275.48 = 178,473.96 : x
  2. Step 2: Convert to fraction form
    285,894/394,275.48 = 178,473.96/x
  3. Step 3: Cross multiply
    285,894x = 394,275.48 × 178,473.96
  4. Step 4: Simplify right side
    285,894x = 70,367,906,246.50
  5. Step 5: Solve for x
    x = 70,367,906,246.50/285,894
  6. Step 6: Final answer
    x = 246,132.85

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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.