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Finding the Fourth Proportional to 278,396.80, 384,166.42 and 163,680.10

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Solution

The fourth proportional to 278,396.80, 384,166.42 and 163,680.10 is: 225,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,396.80 : 384,166.42 = 163,680.10 : x
  2. Step 2: Convert to fraction form
    278,396.80/384,166.42 = 163,680.10/x
  3. Step 3: Cross multiply
    278,396.80x = 384,166.42 × 163,680.10
  4. Step 4: Simplify right side
    278,396.80x = 62,880,398,042.24
  5. Step 5: Solve for x
    x = 62,880,398,042.24/278,396.80
  6. Step 6: Final answer
    x = 225,866.09

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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.