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Finding the Fourth Proportional to 282,010.96, 389,175.76 and 161,151.95

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Solution

The fourth proportional to 282,010.96, 389,175.76 and 161,151.95 is: 222,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,010.96 : 389,175.76 = 161,151.95 : x
  2. Step 2: Convert to fraction form
    282,010.96/389,175.76 = 161,151.95/x
  3. Step 3: Cross multiply
    282,010.96x = 389,175.76 × 161,151.95
  4. Step 4: Simplify right side
    282,010.96x = 62,716,433,791.11
  5. Step 5: Solve for x
    x = 62,716,433,791.11/282,010.96
  6. Step 6: Final answer
    x = 222,390.06

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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.