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Finding the Fourth Proportional to 486,182.54, 729,267.94 and 126,321.54

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Solution

The fourth proportional to 486,182.54, 729,267.94 and 126,321.54 is: 189,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,182.54 : 729,267.94 = 126,321.54 : x
  2. Step 2: Convert to fraction form
    486,182.54/729,267.94 = 126,321.54/x
  3. Step 3: Cross multiply
    486,182.54x = 729,267.94 × 126,321.54
  4. Step 4: Simplify right side
    486,182.54x = 92,122,249,253.43
  5. Step 5: Solve for x
    x = 92,122,249,253.43/486,182.54
  6. Step 6: Final answer
    x = 189,480.78

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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.