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Finding the Fourth Proportional to 491,600.33, 678,382.65 and 276,733.25

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Solution

The fourth proportional to 491,600.33, 678,382.65 and 276,733.25 is: 381,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,600.33 : 678,382.65 = 276,733.25 : x
  2. Step 2: Convert to fraction form
    491,600.33/678,382.65 = 276,733.25/x
  3. Step 3: Cross multiply
    491,600.33x = 678,382.65 × 276,733.25
  4. Step 4: Simplify right side
    491,600.33x = 187,731,035,478.11
  5. Step 5: Solve for x
    x = 187,731,035,478.11/491,600.33
  6. Step 6: Final answer
    x = 381,877.36

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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.