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Finding the Fourth Proportional to 491,642.96, 678,428.52 and 276,740.24

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Solution

The fourth proportional to 491,642.96, 678,428.52 and 276,740.24 is: 381,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,642.96 : 678,428.52 = 276,740.24 : x
  2. Step 2: Convert to fraction form
    491,642.96/678,428.52 = 276,740.24/x
  3. Step 3: Cross multiply
    491,642.96x = 678,428.52 × 276,740.24
  4. Step 4: Simplify right side
    491,642.96x = 187,748,471,447.65
  5. Step 5: Solve for x
    x = 187,748,471,447.65/491,642.96
  6. Step 6: Final answer
    x = 381,879.71

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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.