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Finding the Fourth Proportional to 313,813.20, 470,719.80 and 219,334.80

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Solution

The fourth proportional to 313,813.20, 470,719.80 and 219,334.80 is: 329,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,813.20 : 470,719.80 = 219,334.80 : x
  2. Step 2: Convert to fraction form
    313,813.20/470,719.80 = 219,334.80/x
  3. Step 3: Cross multiply
    313,813.20x = 470,719.80 × 219,334.80
  4. Step 4: Simplify right side
    313,813.20x = 103,245,233,189.04
  5. Step 5: Solve for x
    x = 103,245,233,189.04/313,813.20
  6. Step 6: Final answer
    x = 329,002.20

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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.