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Finding the Fourth Proportional to 333,438.86, 499,084.34 and 219,680.57

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Solution

The fourth proportional to 333,438.86, 499,084.34 and 219,680.57 is: 328,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,438.86 : 499,084.34 = 219,680.57 : x
  2. Step 2: Convert to fraction form
    333,438.86/499,084.34 = 219,680.57/x
  3. Step 3: Cross multiply
    333,438.86x = 499,084.34 × 219,680.57
  4. Step 4: Simplify right side
    333,438.86x = 109,639,132,438.58
  5. Step 5: Solve for x
    x = 109,639,132,438.58/333,438.86
  6. Step 6: Final answer
    x = 328,813.30

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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.