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Finding the Fourth Proportional to 278,074.41, 383,745.71 and 163,357.88

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Solution

The fourth proportional to 278,074.41, 383,745.71 and 163,357.88 is: 225,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,074.41 : 383,745.71 = 163,357.88 : x
  2. Step 2: Convert to fraction form
    278,074.41/383,745.71 = 163,357.88/x
  3. Step 3: Cross multiply
    278,074.41x = 383,745.71 × 163,357.88
  4. Step 4: Simplify right side
    278,074.41x = 62,687,885,787.27
  5. Step 5: Solve for x
    x = 62,687,885,787.27/278,074.41
  6. Step 6: Final answer
    x = 225,435.65

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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.