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Finding the Fourth Proportional to 519,612.80, 779,257.20 and 204,166.40

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Solution

The fourth proportional to 519,612.80, 779,257.20 and 204,166.40 is: 306,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,612.80 : 779,257.20 = 204,166.40 : x
  2. Step 2: Convert to fraction form
    519,612.80/779,257.20 = 204,166.40/x
  3. Step 3: Cross multiply
    519,612.80x = 779,257.20 × 204,166.40
  4. Step 4: Simplify right side
    519,612.80x = 159,098,137,198.08
  5. Step 5: Solve for x
    x = 159,098,137,198.08/519,612.80
  6. Step 6: Final answer
    x = 306,185.95

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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.