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Finding the Fourth Proportional to 282,019.80, 389,207.12 and 161,178.96

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Solution

The fourth proportional to 282,019.80, 389,207.12 and 161,178.96 is: 222,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,019.80 : 389,207.12 = 161,178.96 : x
  2. Step 2: Convert to fraction form
    282,019.80/389,207.12 = 161,178.96/x
  3. Step 3: Cross multiply
    282,019.80x = 389,207.12 × 161,178.96
  4. Step 4: Simplify right side
    282,019.80x = 62,731,998,826.20
  5. Step 5: Solve for x
    x = 62,731,998,826.20/282,019.80
  6. Step 6: Final answer
    x = 222,438.28

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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.