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Finding the Fourth Proportional to 221,486.24, 305,651.40 and 120,884.24

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Solution

The fourth proportional to 221,486.24, 305,651.40 and 120,884.24 is: 166,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,486.24 : 305,651.40 = 120,884.24 : x
  2. Step 2: Convert to fraction form
    221,486.24/305,651.40 = 120,884.24/x
  3. Step 3: Cross multiply
    221,486.24x = 305,651.40 × 120,884.24
  4. Step 4: Simplify right side
    221,486.24x = 36,948,437,193.94
  5. Step 5: Solve for x
    x = 36,948,437,193.94/221,486.24
  6. Step 6: Final answer
    x = 166,820.46

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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.