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Finding the Fourth Proportional to 285,543.29, 394,043.86 and 158,217.77

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Solution

The fourth proportional to 285,543.29, 394,043.86 and 158,217.77 is: 218,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,543.29 : 394,043.86 = 158,217.77 : x
  2. Step 2: Convert to fraction form
    285,543.29/394,043.86 = 158,217.77/x
  3. Step 3: Cross multiply
    285,543.29x = 394,043.86 × 158,217.77
  4. Step 4: Simplify right side
    285,543.29x = 62,344,740,811.39
  5. Step 5: Solve for x
    x = 62,344,740,811.39/285,543.29
  6. Step 6: Final answer
    x = 218,337.26

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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.