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Finding the Fourth Proportional to 307,456.02, 460,985.31 and 120,486.42

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Solution

The fourth proportional to 307,456.02, 460,985.31 and 120,486.42 is: 180,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,456.02 : 460,985.31 = 120,486.42 : x
  2. Step 2: Convert to fraction form
    307,456.02/460,985.31 = 120,486.42/x
  3. Step 3: Cross multiply
    307,456.02x = 460,985.31 × 120,486.42
  4. Step 4: Simplify right side
    307,456.02x = 55,542,469,674.49
  5. Step 5: Solve for x
    x = 55,542,469,674.49/307,456.02
  6. Step 6: Final answer
    x = 180,651.76

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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.