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Finding the Fourth Proportional to 278,764.80, 384,699.60 and 151,442.88

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Solution

The fourth proportional to 278,764.80, 384,699.60 and 151,442.88 is: 208,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,764.80 : 384,699.60 = 151,442.88 : x
  2. Step 2: Convert to fraction form
    278,764.80/384,699.60 = 151,442.88/x
  3. Step 3: Cross multiply
    278,764.80x = 384,699.60 × 151,442.88
  4. Step 4: Simplify right side
    278,764.80x = 58,260,015,358.85
  5. Step 5: Solve for x
    x = 58,260,015,358.85/278,764.80
  6. Step 6: Final answer
    x = 208,993.44

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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.