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Finding the Fourth Proportional to 491,767.84, 678,638.64 and 276,908.80

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Solution

The fourth proportional to 491,767.84, 678,638.64 and 276,908.80 is: 382,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,767.84 : 678,638.64 = 276,908.80 : x
  2. Step 2: Convert to fraction form
    491,767.84/678,638.64 = 276,908.80/x
  3. Step 3: Cross multiply
    491,767.84x = 678,638.64 × 276,908.80
  4. Step 4: Simplify right side
    491,767.84x = 187,921,011,436.03
  5. Step 5: Solve for x
    x = 187,921,011,436.03/491,767.84
  6. Step 6: Final answer
    x = 382,133.59

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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.