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Finding the Fourth Proportional to 282,143.73, 389,358.33 and 161,287.72

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Solution

The fourth proportional to 282,143.73, 389,358.33 and 161,287.72 is: 222,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,143.73 : 389,358.33 = 161,287.72 : x
  2. Step 2: Convert to fraction form
    282,143.73/389,358.33 = 161,287.72/x
  3. Step 3: Cross multiply
    282,143.73x = 389,358.33 × 161,287.72
  4. Step 4: Simplify right side
    282,143.73x = 62,798,715,730.48
  5. Step 5: Solve for x
    x = 62,798,715,730.48/282,143.73
  6. Step 6: Final answer
    x = 222,577.04

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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.