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Finding the Fourth Proportional to 708,682.07, 978,379.22 and 491,206.79

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Solution

The fourth proportional to 708,682.07, 978,379.22 and 491,206.79 is: 678,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,682.07 : 978,379.22 = 491,206.79 : x
  2. Step 2: Convert to fraction form
    708,682.07/978,379.22 = 491,206.79/x
  3. Step 3: Cross multiply
    708,682.07x = 978,379.22 × 491,206.79
  4. Step 4: Simplify right side
    708,682.07x = 480,586,511,167.01
  5. Step 5: Solve for x
    x = 480,586,511,167.01/708,682.07
  6. Step 6: Final answer
    x = 678,141.21

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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.