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Finding the Fourth Proportional to 307,521.85, 461,266.37 and 82,878.68

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Solution

The fourth proportional to 307,521.85, 461,266.37 and 82,878.68 is: 124,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,521.85 : 461,266.37 = 82,878.68 : x
  2. Step 2: Convert to fraction form
    307,521.85/461,266.37 = 82,878.68/x
  3. Step 3: Cross multiply
    307,521.85x = 461,266.37 × 82,878.68
  4. Step 4: Simplify right side
    307,521.85x = 38,229,147,873.99
  5. Step 5: Solve for x
    x = 38,229,147,873.99/307,521.85
  6. Step 6: Final answer
    x = 124,313.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.