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Finding the Fourth Proportional to 282,295.47, 389,517.49 and 159,787.26

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Solution

The fourth proportional to 282,295.47, 389,517.49 and 159,787.26 is: 220,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,295.47 : 389,517.49 = 159,787.26 : x
  2. Step 2: Convert to fraction form
    282,295.47/389,517.49 = 159,787.26/x
  3. Step 3: Cross multiply
    282,295.47x = 389,517.49 × 159,787.26
  4. Step 4: Simplify right side
    282,295.47x = 62,239,932,648.91
  5. Step 5: Solve for x
    x = 62,239,932,648.91/282,295.47
  6. Step 6: Final answer
    x = 220,477.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.