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Finding the Fourth Proportional to 221,453.40, 305,604.18 and 120,851.40

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Solution

The fourth proportional to 221,453.40, 305,604.18 and 120,851.40 is: 166,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,453.40 : 305,604.18 = 120,851.40 : x
  2. Step 2: Convert to fraction form
    221,453.40/305,604.18 = 120,851.40/x
  3. Step 3: Cross multiply
    221,453.40x = 305,604.18 × 120,851.40
  4. Step 4: Simplify right side
    221,453.40x = 36,932,692,998.85
  5. Step 5: Solve for x
    x = 36,932,692,998.85/221,453.40
  6. Step 6: Final answer
    x = 166,774.11

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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.