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Finding the Fourth Proportional to 222,359.80, 306,854.28 and 120,382.54

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Solution

The fourth proportional to 222,359.80, 306,854.28 and 120,382.54 is: 166,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,359.80 : 306,854.28 = 120,382.54 : x
  2. Step 2: Convert to fraction form
    222,359.80/306,854.28 = 120,382.54/x
  3. Step 3: Cross multiply
    222,359.80x = 306,854.28 × 120,382.54
  4. Step 4: Simplify right side
    222,359.80x = 36,939,897,636.27
  5. Step 5: Solve for x
    x = 36,939,897,636.27/222,359.80
  6. Step 6: Final answer
    x = 166,126.69

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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.