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Finding the Fourth Proportional to 203,414.20, 304,829.70 and 149,686.90

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Solution

The fourth proportional to 203,414.20, 304,829.70 and 149,686.90 is: 224,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.20 : 304,829.70 = 149,686.90 : x
  2. Step 2: Convert to fraction form
    203,414.20/304,829.70 = 149,686.90/x
  3. Step 3: Cross multiply
    203,414.20x = 304,829.70 × 149,686.90
  4. Step 4: Simplify right side
    203,414.20x = 45,629,012,820.93
  5. Step 5: Solve for x
    x = 45,629,012,820.93/203,414.20
  6. Step 6: Final answer
    x = 224,315.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.