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Finding the Fourth Proportional to 260,716.40, 390,491.40 and 225,724.40

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Solution

The fourth proportional to 260,716.40, 390,491.40 and 225,724.40 is: 338,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,716.40 : 390,491.40 = 225,724.40 : x
  2. Step 2: Convert to fraction form
    260,716.40/390,491.40 = 225,724.40/x
  3. Step 3: Cross multiply
    260,716.40x = 390,491.40 × 225,724.40
  4. Step 4: Simplify right side
    260,716.40x = 88,143,436,970.16
  5. Step 5: Solve for x
    x = 88,143,436,970.16/260,716.40
  6. Step 6: Final answer
    x = 338,081.67

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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.