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Finding the Fourth Proportional to 329,902.80, 494,416.80 and 292,286.40

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Solution

The fourth proportional to 329,902.80, 494,416.80 and 292,286.40 is: 438,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,902.80 : 494,416.80 = 292,286.40 : x
  2. Step 2: Convert to fraction form
    329,902.80/494,416.80 = 292,286.40/x
  3. Step 3: Cross multiply
    329,902.80x = 494,416.80 × 292,286.40
  4. Step 4: Simplify right side
    329,902.80x = 144,511,306,571.52
  5. Step 5: Solve for x
    x = 144,511,306,571.52/329,902.80
  6. Step 6: Final answer
    x = 438,042.07

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1.5x scale

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.