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Finding the Fourth Proportional to 222,298.50, 306,743.25 and 126,799.50

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Solution

The fourth proportional to 222,298.50, 306,743.25 and 126,799.50 is: 174,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,298.50 : 306,743.25 = 126,799.50 : x
  2. Step 2: Convert to fraction form
    222,298.50/306,743.25 = 126,799.50/x
  3. Step 3: Cross multiply
    222,298.50x = 306,743.25 × 126,799.50
  4. Step 4: Simplify right side
    222,298.50x = 38,894,890,728.38
  5. Step 5: Solve for x
    x = 38,894,890,728.38/222,298.50
  6. Step 6: Final answer
    x = 174,966.95

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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.