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Finding the Fourth Proportional to 278,093.18, 383,788.24 and 157,235.64

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Solution

The fourth proportional to 278,093.18, 383,788.24 and 157,235.64 is: 216,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,093.18 : 383,788.24 = 157,235.64 : x
  2. Step 2: Convert to fraction form
    278,093.18/383,788.24 = 157,235.64/x
  3. Step 3: Cross multiply
    278,093.18x = 383,788.24 × 157,235.64
  4. Step 4: Simplify right side
    278,093.18x = 60,345,189,540.87
  5. Step 5: Solve for x
    x = 60,345,189,540.87/278,093.18
  6. Step 6: Final answer
    x = 216,996.29

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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.