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Finding the Fourth Proportional to 282,136.71, 389,348.61 and 161,280.60

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Solution

The fourth proportional to 282,136.71, 389,348.61 and 161,280.60 is: 222,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136.71 : 389,348.61 = 161,280.60 : x
  2. Step 2: Convert to fraction form
    282,136.71/389,348.61 = 161,280.60/x
  3. Step 3: Cross multiply
    282,136.71x = 389,348.61 × 161,280.60
  4. Step 4: Simplify right side
    282,136.71x = 62,794,375,365.11
  5. Step 5: Solve for x
    x = 62,794,375,365.11/282,136.71
  6. Step 6: Final answer
    x = 222,567.19

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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.