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Finding the Fourth Proportional to 278,093.16, 383,739.84 and 170,667.72

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Solution

The fourth proportional to 278,093.16, 383,739.84 and 170,667.72 is: 235,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,093.16 : 383,739.84 = 170,667.72 : x
  2. Step 2: Convert to fraction form
    278,093.16/383,739.84 = 170,667.72/x
  3. Step 3: Cross multiply
    278,093.16x = 383,739.84 × 170,667.72
  4. Step 4: Simplify right side
    278,093.16x = 65,492,003,565.96
  5. Step 5: Solve for x
    x = 65,492,003,565.96/278,093.16
  6. Step 6: Final answer
    x = 235,503.83

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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.