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Finding the Fourth Proportional to 282,402.77, 389,724.98 and 161,544.29

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Solution

The fourth proportional to 282,402.77, 389,724.98 and 161,544.29 is: 222,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,402.77 : 389,724.98 = 161,544.29 : x
  2. Step 2: Convert to fraction form
    282,402.77/389,724.98 = 161,544.29/x
  3. Step 3: Cross multiply
    282,402.77x = 389,724.98 × 161,544.29
  4. Step 4: Simplify right side
    282,402.77x = 62,957,842,433.02
  5. Step 5: Solve for x
    x = 62,957,842,433.02/282,402.77
  6. Step 6: Final answer
    x = 222,936.35

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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.