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Finding the Fourth Proportional to 486,020.40, 728,046.45 and 275,412.30

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Solution

The fourth proportional to 486,020.40, 728,046.45 and 275,412.30 is: 412,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,020.40 : 728,046.45 = 275,412.30 : x
  2. Step 2: Convert to fraction form
    486,020.40/728,046.45 = 275,412.30/x
  3. Step 3: Cross multiply
    486,020.40x = 728,046.45 × 275,412.30
  4. Step 4: Simplify right side
    486,020.40x = 200,512,947,301.34
  5. Step 5: Solve for x
    x = 200,512,947,301.34/486,020.40
  6. Step 6: Final answer
    x = 412,560.76

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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.