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Finding the Fourth Proportional to 278,099.32, 383,405.82 and 220,928.32

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Solution

The fourth proportional to 278,099.32, 383,405.82 and 220,928.32 is: 304,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,099.32 : 383,405.82 = 220,928.32 : x
  2. Step 2: Convert to fraction form
    278,099.32/383,405.82 = 220,928.32/x
  3. Step 3: Cross multiply
    278,099.32x = 383,405.82 × 220,928.32
  4. Step 4: Simplify right side
    278,099.32x = 84,705,203,690.82
  5. Step 5: Solve for x
    x = 84,705,203,690.82/278,099.32
  6. Step 6: Final answer
    x = 304,586.16

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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.