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Finding the Fourth Proportional to 287,880.75, 397,146.94 and 166,951.95

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Solution

The fourth proportional to 287,880.75, 397,146.94 and 166,951.95 is: 230,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,880.75 : 397,146.94 = 166,951.95 : x
  2. Step 2: Convert to fraction form
    287,880.75/397,146.94 = 166,951.95/x
  3. Step 3: Cross multiply
    287,880.75x = 397,146.94 × 166,951.95
  4. Step 4: Simplify right side
    287,880.75x = 66,304,456,069.53
  5. Step 5: Solve for x
    x = 66,304,456,069.53/287,880.75
  6. Step 6: Final answer
    x = 230,319.17

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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.