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Finding the Fourth Proportional to 311,958.80, 468,053.40 and 300,438.80

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Solution

The fourth proportional to 311,958.80, 468,053.40 and 300,438.80 is: 450,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,958.80 : 468,053.40 = 300,438.80 : x
  2. Step 2: Convert to fraction form
    311,958.80/468,053.40 = 300,438.80/x
  3. Step 3: Cross multiply
    311,958.80x = 468,053.40 × 300,438.80
  4. Step 4: Simplify right side
    311,958.80x = 140,621,401,831.92
  5. Step 5: Solve for x
    x = 140,621,401,831.92/311,958.80
  6. Step 6: Final answer
    x = 450,769.15

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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.