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Finding the Fourth Proportional to 277,578, 383,057.64 and 158,346

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Solution

The fourth proportional to 277,578, 383,057.64 and 158,346 is: 218,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,578 : 383,057.64 = 158,346 : x
  2. Step 2: Convert to fraction form
    277,578/383,057.64 = 158,346/x
  3. Step 3: Cross multiply
    277,578x = 383,057.64 × 158,346
  4. Step 4: Simplify right side
    277,578x = 60,655,645,063.44
  5. Step 5: Solve for x
    x = 60,655,645,063.44/277,578
  6. Step 6: Final answer
    x = 218,517.48

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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.