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Finding the Fourth Proportional to 615,640.78, 923,424.26 and 189,180.64

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Solution

The fourth proportional to 615,640.78, 923,424.26 and 189,180.64 is: 283,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,640.78 : 923,424.26 = 189,180.64 : x
  2. Step 2: Convert to fraction form
    615,640.78/923,424.26 = 189,180.64/x
  3. Step 3: Cross multiply
    615,640.78x = 923,424.26 × 189,180.64
  4. Step 4: Simplify right side
    615,640.78x = 174,693,992,498.33
  5. Step 5: Solve for x
    x = 174,693,992,498.33/615,640.78
  6. Step 6: Final answer
    x = 283,759.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.