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Finding the Fourth Proportional to 491,429.15, 678,171.61 and 276,570.75

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Solution

The fourth proportional to 491,429.15, 678,171.61 and 276,570.75 is: 381,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,429.15 : 678,171.61 = 276,570.75 : x
  2. Step 2: Convert to fraction form
    491,429.15/678,171.61 = 276,570.75/x
  3. Step 3: Cross multiply
    491,429.15x = 678,171.61 × 276,570.75
  4. Step 4: Simplify right side
    491,429.15x = 187,562,434,473.12
  5. Step 5: Solve for x
    x = 187,562,434,473.12/491,429.15
  6. Step 6: Final answer
    x = 381,667.29

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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.