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Finding the Fourth Proportional to 288,511.75, 398,138.88 and 161,188.30

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Solution

The fourth proportional to 288,511.75, 398,138.88 and 161,188.30 is: 222,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,511.75 : 398,138.88 = 161,188.30 : x
  2. Step 2: Convert to fraction form
    288,511.75/398,138.88 = 161,188.30/x
  3. Step 3: Cross multiply
    288,511.75x = 398,138.88 × 161,188.30
  4. Step 4: Simplify right side
    288,511.75x = 64,175,329,231.10
  5. Step 5: Solve for x
    x = 64,175,329,231.10/288,511.75
  6. Step 6: Final answer
    x = 222,435.76

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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.