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Finding the Fourth Proportional to 278,478.54, 384,234.52 and 157,619.83

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Solution

The fourth proportional to 278,478.54, 384,234.52 and 157,619.83 is: 217,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,478.54 : 384,234.52 = 157,619.83 : x
  2. Step 2: Convert to fraction form
    278,478.54/384,234.52 = 157,619.83/x
  3. Step 3: Cross multiply
    278,478.54x = 384,234.52 × 157,619.83
  4. Step 4: Simplify right side
    278,478.54x = 60,562,979,722.53
  5. Step 5: Solve for x
    x = 60,562,979,722.53/278,478.54
  6. Step 6: Final answer
    x = 217,478.09

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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.