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Finding the Fourth Proportional to 282,778.28, 424,167.41 and 251,285.48

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Solution

The fourth proportional to 282,778.28, 424,167.41 and 251,285.48 is: 376,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,778.28 : 424,167.41 = 251,285.48 : x
  2. Step 2: Convert to fraction form
    282,778.28/424,167.41 = 251,285.48/x
  3. Step 3: Cross multiply
    282,778.28x = 424,167.41 × 251,285.48
  4. Step 4: Simplify right side
    282,778.28x = 106,587,109,729.58
  5. Step 5: Solve for x
    x = 106,587,109,729.58/282,778.28
  6. Step 6: Final answer
    x = 376,928.21

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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.