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Finding the Fourth Proportional to 389,947.20, 584,920.80 and 329,812.80

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Solution

The fourth proportional to 389,947.20, 584,920.80 and 329,812.80 is: 494,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,947.20 : 584,920.80 = 329,812.80 : x
  2. Step 2: Convert to fraction form
    389,947.20/584,920.80 = 329,812.80/x
  3. Step 3: Cross multiply
    389,947.20x = 584,920.80 × 329,812.80
  4. Step 4: Simplify right side
    389,947.20x = 192,914,366,826.24
  5. Step 5: Solve for x
    x = 192,914,366,826.24/389,947.20
  6. Step 6: Final answer
    x = 494,719.20

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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.