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Finding the Fourth Proportional to 285,677.12, 394,193.04 and 158,352.68

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Solution

The fourth proportional to 285,677.12, 394,193.04 and 158,352.68 is: 218,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,677.12 : 394,193.04 = 158,352.68 : x
  2. Step 2: Convert to fraction form
    285,677.12/394,193.04 = 158,352.68/x
  3. Step 3: Cross multiply
    285,677.12x = 394,193.04 × 158,352.68
  4. Step 4: Simplify right side
    285,677.12x = 62,421,524,321.35
  5. Step 5: Solve for x
    x = 62,421,524,321.35/285,677.12
  6. Step 6: Final answer
    x = 218,503.76

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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.