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Finding the Fourth Proportional to 491,578.92, 678,326.13 and 276,715.08

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Solution

The fourth proportional to 491,578.92, 678,326.13 and 276,715.08 is: 381,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,578.92 : 678,326.13 = 276,715.08 : x
  2. Step 2: Convert to fraction form
    491,578.92/678,326.13 = 276,715.08/x
  3. Step 3: Cross multiply
    491,578.92x = 678,326.13 × 276,715.08
  4. Step 4: Simplify right side
    491,578.92x = 187,703,069,329.04
  5. Step 5: Solve for x
    x = 187,703,069,329.04/491,578.92
  6. Step 6: Final answer
    x = 381,837.10

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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.