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Finding the Fourth Proportional to 282,229.67, 389,471.39 and 159,719.77

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Solution

The fourth proportional to 282,229.67, 389,471.39 and 159,719.77 is: 220,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,229.67 : 389,471.39 = 159,719.77 : x
  2. Step 2: Convert to fraction form
    282,229.67/389,471.39 = 159,719.77/x
  3. Step 3: Cross multiply
    282,229.67x = 389,471.39 × 159,719.77
  4. Step 4: Simplify right side
    282,229.67x = 62,206,282,214.96
  5. Step 5: Solve for x
    x = 62,206,282,214.96/282,229.67
  6. Step 6: Final answer
    x = 220,410.15

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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.