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Finding the Fourth Proportional to 413,469.20, 620,376.60 and 133,072.40

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Solution

The fourth proportional to 413,469.20, 620,376.60 and 133,072.40 is: 199,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,469.20 : 620,376.60 = 133,072.40 : x
  2. Step 2: Convert to fraction form
    413,469.20/620,376.60 = 133,072.40/x
  3. Step 3: Cross multiply
    413,469.20x = 620,376.60 × 133,072.40
  4. Step 4: Simplify right side
    413,469.20x = 82,555,003,065.84
  5. Step 5: Solve for x
    x = 82,555,003,065.84/413,469.20
  6. Step 6: Final answer
    x = 199,664.21

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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.