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Finding the Fourth Proportional to 221,452.40, 305,602.80 and 120,850.40

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Solution

The fourth proportional to 221,452.40, 305,602.80 and 120,850.40 is: 166,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,452.40 : 305,602.80 = 120,850.40 : x
  2. Step 2: Convert to fraction form
    221,452.40/305,602.80 = 120,850.40/x
  3. Step 3: Cross multiply
    221,452.40x = 305,602.80 × 120,850.40
  4. Step 4: Simplify right side
    221,452.40x = 36,932,220,621.12
  5. Step 5: Solve for x
    x = 36,932,220,621.12/221,452.40
  6. Step 6: Final answer
    x = 166,772.73

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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.