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Finding the Fourth Proportional to 304,409.52, 456,771.78 and 220,859.30

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Solution

The fourth proportional to 304,409.52, 456,771.78 and 220,859.30 is: 331,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409.52 : 456,771.78 = 220,859.30 : x
  2. Step 2: Convert to fraction form
    304,409.52/456,771.78 = 220,859.30/x
  3. Step 3: Cross multiply
    304,409.52x = 456,771.78 × 220,859.30
  4. Step 4: Simplify right side
    304,409.52x = 100,882,293,306.70
  5. Step 5: Solve for x
    x = 100,882,293,306.70/304,409.52
  6. Step 6: Final answer
    x = 331,403.21

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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.