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Finding the Fourth Proportional to 413,993.27, 620,989.90 and 133,510.52

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Solution

The fourth proportional to 413,993.27, 620,989.90 and 133,510.52 is: 200,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,993.27 : 620,989.90 = 133,510.52 : x
  2. Step 2: Convert to fraction form
    413,993.27/620,989.90 = 133,510.52/x
  3. Step 3: Cross multiply
    413,993.27x = 620,989.90 × 133,510.52
  4. Step 4: Simplify right side
    413,993.27x = 82,908,684,463.75
  5. Step 5: Solve for x
    x = 82,908,684,463.75/413,993.27
  6. Step 6: Final answer
    x = 200,265.78

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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.