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Finding the Fourth Proportional to 329,693.40, 494,540.10 and 223,405.20

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Solution

The fourth proportional to 329,693.40, 494,540.10 and 223,405.20 is: 335,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,693.40 : 494,540.10 = 223,405.20 : x
  2. Step 2: Convert to fraction form
    329,693.40/494,540.10 = 223,405.20/x
  3. Step 3: Cross multiply
    329,693.40x = 494,540.10 × 223,405.20
  4. Step 4: Simplify right side
    329,693.40x = 110,482,829,948.52
  5. Step 5: Solve for x
    x = 110,482,829,948.52/329,693.40
  6. Step 6: Final answer
    x = 335,107.80

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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.