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Finding the Fourth Proportional to 397,469.80, 596,459.85 and 220,104.10

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Solution

The fourth proportional to 397,469.80, 596,459.85 and 220,104.10 is: 330,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,469.80 : 596,459.85 = 220,104.10 : x
  2. Step 2: Convert to fraction form
    397,469.80/596,459.85 = 220,104.10/x
  3. Step 3: Cross multiply
    397,469.80x = 596,459.85 × 220,104.10
  4. Step 4: Simplify right side
    397,469.80x = 131,283,258,470.39
  5. Step 5: Solve for x
    x = 131,283,258,470.39/397,469.80
  6. Step 6: Final answer
    x = 330,297.44

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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.