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Finding the Fourth Proportional to 521,476.70, 782,439.80 and 281,542.95

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Solution

The fourth proportional to 521,476.70, 782,439.80 and 281,542.95 is: 422,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,476.70 : 782,439.80 = 281,542.95 : x
  2. Step 2: Convert to fraction form
    521,476.70/782,439.80 = 281,542.95/x
  3. Step 3: Cross multiply
    521,476.70x = 782,439.80 × 281,542.95
  4. Step 4: Simplify right side
    521,476.70x = 220,290,410,193.27
  5. Step 5: Solve for x
    x = 220,290,410,193.27/521,476.70
  6. Step 6: Final answer
    x = 422,435.77

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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.