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Finding the Fourth Proportional to 278,814.15, 384,749.19 and 151,489.44

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Solution

The fourth proportional to 278,814.15, 384,749.19 and 151,489.44 is: 209,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,814.15 : 384,749.19 = 151,489.44 : x
  2. Step 2: Convert to fraction form
    278,814.15/384,749.19 = 151,489.44/x
  3. Step 3: Cross multiply
    278,814.15x = 384,749.19 × 151,489.44
  4. Step 4: Simplify right side
    278,814.15x = 58,285,439,333.55
  5. Step 5: Solve for x
    x = 58,285,439,333.55/278,814.15
  6. Step 6: Final answer
    x = 209,047.64

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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.