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Finding the Fourth Proportional to 285,815.60, 394,397.10 and 164,995.80

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Solution

The fourth proportional to 285,815.60, 394,397.10 and 164,995.80 is: 227,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,815.60 : 394,397.10 = 164,995.80 : x
  2. Step 2: Convert to fraction form
    285,815.60/394,397.10 = 164,995.80/x
  3. Step 3: Cross multiply
    285,815.60x = 394,397.10 × 164,995.80
  4. Step 4: Simplify right side
    285,815.60x = 65,073,865,032.18
  5. Step 5: Solve for x
    x = 65,073,865,032.18/285,815.60
  6. Step 6: Final answer
    x = 227,677.79

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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.