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Finding the Fourth Proportional to 278,908.78, 384,896.62 and 151,584.52

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Solution

The fourth proportional to 278,908.78, 384,896.62 and 151,584.52 is: 209,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,908.78 : 384,896.62 = 151,584.52 : x
  2. Step 2: Convert to fraction form
    278,908.78/384,896.62 = 151,584.52/x
  3. Step 3: Cross multiply
    278,908.78x = 384,896.62 × 151,584.52
  4. Step 4: Simplify right side
    278,908.78x = 58,344,369,392.32
  5. Step 5: Solve for x
    x = 58,344,369,392.32/278,908.78
  6. Step 6: Final answer
    x = 209,188.00

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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.