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Finding the Fourth Proportional to 491,363.61, 678,079.62 and 276,507.26

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Solution

The fourth proportional to 491,363.61, 678,079.62 and 276,507.26 is: 381,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,363.61 : 678,079.62 = 276,507.26 : x
  2. Step 2: Convert to fraction form
    491,363.61/678,079.62 = 276,507.26/x
  3. Step 3: Cross multiply
    491,363.61x = 678,079.62 × 276,507.26
  4. Step 4: Simplify right side
    491,363.61x = 187,493,937,788.04
  5. Step 5: Solve for x
    x = 187,493,937,788.04/491,363.61
  6. Step 6: Final answer
    x = 381,578.80

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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.