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Finding the Fourth Proportional to 221,246.57, 305,319.70 and 120,644.57

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Solution

The fourth proportional to 221,246.57, 305,319.70 and 120,644.57 is: 166,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,246.57 : 305,319.70 = 120,644.57 : x
  2. Step 2: Convert to fraction form
    221,246.57/305,319.70 = 120,644.57/x
  3. Step 3: Cross multiply
    221,246.57x = 305,319.70 × 120,644.57
  4. Step 4: Simplify right side
    221,246.57x = 36,835,163,919.03
  5. Step 5: Solve for x
    x = 36,835,163,919.03/221,246.57
  6. Step 6: Final answer
    x = 166,489.20

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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.