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Finding the Fourth Proportional to 491,642.29, 678,464.40 and 276,782.77

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Solution

The fourth proportional to 491,642.29, 678,464.40 and 276,782.77 is: 381,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,642.29 : 678,464.40 = 276,782.77 : x
  2. Step 2: Convert to fraction form
    491,642.29/678,464.40 = 276,782.77/x
  3. Step 3: Cross multiply
    491,642.29x = 678,464.40 × 276,782.77
  4. Step 4: Simplify right side
    491,642.29x = 187,787,255,978.39
  5. Step 5: Solve for x
    x = 187,787,255,978.39/491,642.29
  6. Step 6: Final answer
    x = 381,959.12

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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.