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Finding the Fourth Proportional to 287,694.60, 397,023.78 and 160,356.48

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Solution

The fourth proportional to 287,694.60, 397,023.78 and 160,356.48 is: 221,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,694.60 : 397,023.78 = 160,356.48 : x
  2. Step 2: Convert to fraction form
    287,694.60/397,023.78 = 160,356.48/x
  3. Step 3: Cross multiply
    287,694.60x = 397,023.78 × 160,356.48
  4. Step 4: Simplify right side
    287,694.60x = 63,665,335,837.09
  5. Step 5: Solve for x
    x = 63,665,335,837.09/287,694.60
  6. Step 6: Final answer
    x = 221,294.86

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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.