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Finding the Fourth Proportional to 282,120.80, 389,326.66 and 161,264.68

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Solution

The fourth proportional to 282,120.80, 389,326.66 and 161,264.68 is: 222,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,120.80 : 389,326.66 = 161,264.68 : x
  2. Step 2: Convert to fraction form
    282,120.80/389,326.66 = 161,264.68/x
  3. Step 3: Cross multiply
    282,120.80x = 389,326.66 × 161,264.68
  4. Step 4: Simplify right side
    282,120.80x = 62,784,639,240.37
  5. Step 5: Solve for x
    x = 62,784,639,240.37/282,120.80
  6. Step 6: Final answer
    x = 222,545.23

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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.