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Finding the Fourth Proportional to 491,776.14, 678,671.94 and 273,984.63

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Solution

The fourth proportional to 491,776.14, 678,671.94 and 273,984.63 is: 378,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,776.14 : 678,671.94 = 273,984.63 : x
  2. Step 2: Convert to fraction form
    491,776.14/678,671.94 = 273,984.63/x
  3. Step 3: Cross multiply
    491,776.14x = 678,671.94 × 273,984.63
  4. Step 4: Simplify right side
    491,776.14x = 185,945,680,372.28
  5. Step 5: Solve for x
    x = 185,945,680,372.28/491,776.14
  6. Step 6: Final answer
    x = 378,110.41

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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.