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Finding the Fourth Proportional to 393,433.74, 590,741.10 and 225,144.09

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Solution

The fourth proportional to 393,433.74, 590,741.10 and 225,144.09 is: 338,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,433.74 : 590,741.10 = 225,144.09 : x
  2. Step 2: Convert to fraction form
    393,433.74/590,741.10 = 225,144.09/x
  3. Step 3: Cross multiply
    393,433.74x = 590,741.10 × 225,144.09
  4. Step 4: Simplify right side
    393,433.74x = 133,001,867,385.10
  5. Step 5: Solve for x
    x = 133,001,867,385.10/393,433.74
  6. Step 6: Final answer
    x = 338,054.05

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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.