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Finding the Fourth Proportional to 329,810.20, 494,715.30 and 215,648.80

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Solution

The fourth proportional to 329,810.20, 494,715.30 and 215,648.80 is: 323,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,810.20 : 494,715.30 = 215,648.80 : x
  2. Step 2: Convert to fraction form
    329,810.20/494,715.30 = 215,648.80/x
  3. Step 3: Cross multiply
    329,810.20x = 494,715.30 × 215,648.80
  4. Step 4: Simplify right side
    329,810.20x = 106,684,760,786.64
  5. Step 5: Solve for x
    x = 106,684,760,786.64/329,810.20
  6. Step 6: Final answer
    x = 323,473.20

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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.