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Finding the Fourth Proportional to 282,068.33, 389,288.73 and 161,214.71

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Solution

The fourth proportional to 282,068.33, 389,288.73 and 161,214.71 is: 222,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,068.33 : 389,288.73 = 161,214.71 : x
  2. Step 2: Convert to fraction form
    282,068.33/389,288.73 = 161,214.71/x
  3. Step 3: Cross multiply
    282,068.33x = 389,288.73 × 161,214.71
  4. Step 4: Simplify right side
    282,068.33x = 62,759,068,371.33
  5. Step 5: Solve for x
    x = 62,759,068,371.33/282,068.33
  6. Step 6: Final answer
    x = 222,495.98

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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.