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Finding the Fourth Proportional to 491,364.61, 678,081 and 276,508.26

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Solution

The fourth proportional to 491,364.61, 678,081 and 276,508.26 is: 381,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,364.61 : 678,081 = 276,508.26 : x
  2. Step 2: Convert to fraction form
    491,364.61/678,081 = 276,508.26/x
  3. Step 3: Cross multiply
    491,364.61x = 678,081 × 276,508.26
  4. Step 4: Simplify right side
    491,364.61x = 187,494,997,449.06
  5. Step 5: Solve for x
    x = 187,494,997,449.06/491,364.61
  6. Step 6: Final answer
    x = 381,580.18

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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.