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Finding the Fourth Proportional to 491,769.84, 678,641.40 and 276,910.80

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Solution

The fourth proportional to 491,769.84, 678,641.40 and 276,910.80 is: 382,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,769.84 : 678,641.40 = 276,910.80 : x
  2. Step 2: Convert to fraction form
    491,769.84/678,641.40 = 276,910.80/x
  3. Step 3: Cross multiply
    491,769.84x = 678,641.40 × 276,910.80
  4. Step 4: Simplify right side
    491,769.84x = 187,923,132,987.12
  5. Step 5: Solve for x
    x = 187,923,132,987.12/491,769.84
  6. Step 6: Final answer
    x = 382,136.35

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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.