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Finding the Fourth Proportional to 278,109.44, 383,793.98 and 163,392.86

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Solution

The fourth proportional to 278,109.44, 383,793.98 and 163,392.86 is: 225,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,109.44 : 383,793.98 = 163,392.86 : x
  2. Step 2: Convert to fraction form
    278,109.44/383,793.98 = 163,392.86/x
  3. Step 3: Cross multiply
    278,109.44x = 383,793.98 × 163,392.86
  4. Step 4: Simplify right side
    278,109.44x = 62,709,193,307.05
  5. Step 5: Solve for x
    x = 62,709,193,307.05/278,109.44
  6. Step 6: Final answer
    x = 225,483.88

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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.