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Finding the Fourth Proportional to 221,499.20, 305,552.48 and 149,903.20

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Solution

The fourth proportional to 221,499.20, 305,552.48 and 149,903.20 is: 206,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,499.20 : 305,552.48 = 149,903.20 : x
  2. Step 2: Convert to fraction form
    221,499.20/305,552.48 = 149,903.20/x
  3. Step 3: Cross multiply
    221,499.20x = 305,552.48 × 149,903.20
  4. Step 4: Simplify right side
    221,499.20x = 45,803,294,519.94
  5. Step 5: Solve for x
    x = 45,803,294,519.94/221,499.20
  6. Step 6: Final answer
    x = 206,787.63

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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.