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Finding the Fourth Proportional to 240,324.60, 360,389.70 and 82,471.80

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Solution

The fourth proportional to 240,324.60, 360,389.70 and 82,471.80 is: 123,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,324.60 : 360,389.70 = 82,471.80 : x
  2. Step 2: Convert to fraction form
    240,324.60/360,389.70 = 82,471.80/x
  3. Step 3: Cross multiply
    240,324.60x = 360,389.70 × 82,471.80
  4. Step 4: Simplify right side
    240,324.60x = 29,721,987,260.46
  5. Step 5: Solve for x
    x = 29,721,987,260.46/240,324.60
  6. Step 6: Final answer
    x = 123,674.34

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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.