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Finding the Fourth Proportional to 205,414.60, 308,121.90 and 170,854.60

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Solution

The fourth proportional to 205,414.60, 308,121.90 and 170,854.60 is: 256,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.60 : 308,121.90 = 170,854.60 : x
  2. Step 2: Convert to fraction form
    205,414.60/308,121.90 = 170,854.60/x
  3. Step 3: Cross multiply
    205,414.60x = 308,121.90 × 170,854.60
  4. Step 4: Simplify right side
    205,414.60x = 52,644,043,975.74
  5. Step 5: Solve for x
    x = 52,644,043,975.74/205,414.60
  6. Step 6: Final answer
    x = 256,281.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.