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Finding the Fourth Proportional to 278,640.49, 384,520.49 and 151,317

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Solution

The fourth proportional to 278,640.49, 384,520.49 and 151,317 is: 208,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640.49 : 384,520.49 = 151,317 : x
  2. Step 2: Convert to fraction form
    278,640.49/384,520.49 = 151,317/x
  3. Step 3: Cross multiply
    278,640.49x = 384,520.49 × 151,317
  4. Step 4: Simplify right side
    278,640.49x = 58,184,486,985.33
  5. Step 5: Solve for x
    x = 58,184,486,985.33/278,640.49
  6. Step 6: Final answer
    x = 208,815.62

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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.