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Finding the Fourth Proportional to 282,124.61, 389,331.96 and 161,268.50

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Solution

The fourth proportional to 282,124.61, 389,331.96 and 161,268.50 is: 222,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,124.61 : 389,331.96 = 161,268.50 : x
  2. Step 2: Convert to fraction form
    282,124.61/389,331.96 = 161,268.50/x
  3. Step 3: Cross multiply
    282,124.61x = 389,331.96 × 161,268.50
  4. Step 4: Simplify right side
    282,124.61x = 62,786,979,244.60
  5. Step 5: Solve for x
    x = 62,786,979,244.60/282,124.61
  6. Step 6: Final answer
    x = 222,550.53

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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.