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Finding the Fourth Proportional to 457,788.70, 686,879.88 and 221,309.20

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Solution

The fourth proportional to 457,788.70, 686,879.88 and 221,309.20 is: 332,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,788.70 : 686,879.88 = 221,309.20 : x
  2. Step 2: Convert to fraction form
    457,788.70/686,879.88 = 221,309.20/x
  3. Step 3: Cross multiply
    457,788.70x = 686,879.88 × 221,309.20
  4. Step 4: Simplify right side
    457,788.70x = 152,012,836,738.90
  5. Step 5: Solve for x
    x = 152,012,836,738.90/457,788.70
  6. Step 6: Final answer
    x = 332,058.95

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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.