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Finding the Fourth Proportional to 285,805.49, 394,383.15 and 164,985.70

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Solution

The fourth proportional to 285,805.49, 394,383.15 and 164,985.70 is: 227,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,805.49 : 394,383.15 = 164,985.70 : x
  2. Step 2: Convert to fraction form
    285,805.49/394,383.15 = 164,985.70/x
  3. Step 3: Cross multiply
    285,805.49x = 394,383.15 × 164,985.70
  4. Step 4: Simplify right side
    285,805.49x = 65,067,580,565.79
  5. Step 5: Solve for x
    x = 65,067,580,565.79/285,805.49
  6. Step 6: Final answer
    x = 227,663.86

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1.5x scale

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.