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Finding the Fourth Proportional to 491,783.31, 678,725.64 and 276,965.37

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Solution

The fourth proportional to 491,783.31, 678,725.64 and 276,965.37 is: 382,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,783.31 : 678,725.64 = 276,965.37 : x
  2. Step 2: Convert to fraction form
    491,783.31/678,725.64 = 276,965.37/x
  3. Step 3: Cross multiply
    491,783.31x = 678,725.64 × 276,965.37
  4. Step 4: Simplify right side
    491,783.31x = 187,983,498,011.09
  5. Step 5: Solve for x
    x = 187,983,498,011.09/491,783.31
  6. Step 6: Final answer
    x = 382,248.63

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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.