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Finding the Fourth Proportional to 285,982.92, 394,703.64 and 158,699.52

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Solution

The fourth proportional to 285,982.92, 394,703.64 and 158,699.52 is: 219,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,982.92 : 394,703.64 = 158,699.52 : x
  2. Step 2: Convert to fraction form
    285,982.92/394,703.64 = 158,699.52/x
  3. Step 3: Cross multiply
    285,982.92x = 394,703.64 × 158,699.52
  4. Step 4: Simplify right side
    285,982.92x = 62,639,278,210.25
  5. Step 5: Solve for x
    x = 62,639,278,210.25/285,982.92
  6. Step 6: Final answer
    x = 219,031.54

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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.