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Finding the Fourth Proportional to 282,339.21, 389,517 and 161,415.54

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Solution

The fourth proportional to 282,339.21, 389,517 and 161,415.54 is: 222,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,339.21 : 389,517 = 161,415.54 : x
  2. Step 2: Convert to fraction form
    282,339.21/389,517 = 161,415.54/x
  3. Step 3: Cross multiply
    282,339.21x = 389,517 × 161,415.54
  4. Step 4: Simplify right side
    282,339.21x = 62,874,096,894.18
  5. Step 5: Solve for x
    x = 62,874,096,894.18/282,339.21
  6. Step 6: Final answer
    x = 222,689.92

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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.