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Finding the Fourth Proportional to 393,435.74, 590,744.10 and 225,146.09

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Solution

The fourth proportional to 393,435.74, 590,744.10 and 225,146.09 is: 338,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,435.74 : 590,744.10 = 225,146.09 : x
  2. Step 2: Convert to fraction form
    393,435.74/590,744.10 = 225,146.09/x
  3. Step 3: Cross multiply
    393,435.74x = 590,744.10 × 225,146.09
  4. Step 4: Simplify right side
    393,435.74x = 133,003,724,305.57
  5. Step 5: Solve for x
    x = 133,003,724,305.57/393,435.74
  6. Step 6: Final answer
    x = 338,057.05

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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.