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Finding the Fourth Proportional to 413,727.20, 620,763.60 and 133,330.40

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Solution

The fourth proportional to 413,727.20, 620,763.60 and 133,330.40 is: 200,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,727.20 : 620,763.60 = 133,330.40 : x
  2. Step 2: Convert to fraction form
    413,727.20/620,763.60 = 133,330.40/x
  3. Step 3: Cross multiply
    413,727.20x = 620,763.60 × 133,330.40
  4. Step 4: Simplify right side
    413,727.20x = 82,766,659,093.44
  5. Step 5: Solve for x
    x = 82,766,659,093.44/413,727.20
  6. Step 6: Final answer
    x = 200,051.29

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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.