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Finding the Fourth Proportional to 491,768.84, 678,640.02 and 276,909.80

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Solution

The fourth proportional to 491,768.84, 678,640.02 and 276,909.80 is: 382,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,768.84 : 678,640.02 = 276,909.80 : x
  2. Step 2: Convert to fraction form
    491,768.84/678,640.02 = 276,909.80/x
  3. Step 3: Cross multiply
    491,768.84x = 678,640.02 × 276,909.80
  4. Step 4: Simplify right side
    491,768.84x = 187,922,072,210.20
  5. Step 5: Solve for x
    x = 187,922,072,210.20/491,768.84
  6. Step 6: Final answer
    x = 382,134.97

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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.