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Finding the Fourth Proportional to 282,299.35, 389,584.41 and 161,438.90

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Solution

The fourth proportional to 282,299.35, 389,584.41 and 161,438.90 is: 222,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,299.35 : 389,584.41 = 161,438.90 : x
  2. Step 2: Convert to fraction form
    282,299.35/389,584.41 = 161,438.90/x
  3. Step 3: Cross multiply
    282,299.35x = 389,584.41 × 161,438.90
  4. Step 4: Simplify right side
    282,299.35x = 62,894,077,603.98
  5. Step 5: Solve for x
    x = 62,894,077,603.98/282,299.35
  6. Step 6: Final answer
    x = 222,792.14

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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.