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Finding the Fourth Proportional to 288,219.92, 397,736.88 and 160,907.36

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Solution

The fourth proportional to 288,219.92, 397,736.88 and 160,907.36 is: 222,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,219.92 : 397,736.88 = 160,907.36 : x
  2. Step 2: Convert to fraction form
    288,219.92/397,736.88 = 160,907.36/x
  3. Step 3: Cross multiply
    288,219.92x = 397,736.88 × 160,907.36
  4. Step 4: Simplify right side
    288,219.92x = 63,998,791,335.44
  5. Step 5: Solve for x
    x = 63,998,791,335.44/288,219.92
  6. Step 6: Final answer
    x = 222,048.47

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1.5x scale

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.