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Finding the Fourth Proportional to 285,727.40, 394,308.60 and 156,663.20

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Solution

The fourth proportional to 285,727.40, 394,308.60 and 156,663.20 is: 216,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,727.40 : 394,308.60 = 156,663.20 : x
  2. Step 2: Convert to fraction form
    285,727.40/394,308.60 = 156,663.20/x
  3. Step 3: Cross multiply
    285,727.40x = 394,308.60 × 156,663.20
  4. Step 4: Simplify right side
    285,727.40x = 61,773,647,063.52
  5. Step 5: Solve for x
    x = 61,773,647,063.52/285,727.40
  6. Step 6: Final answer
    x = 216,197.84

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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.