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Finding the Fourth Proportional to 408,490.80, 611,861.40 and 329,758.80

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Solution

The fourth proportional to 408,490.80, 611,861.40 and 329,758.80 is: 493,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,490.80 : 611,861.40 = 329,758.80 : x
  2. Step 2: Convert to fraction form
    408,490.80/611,861.40 = 329,758.80/x
  3. Step 3: Cross multiply
    408,490.80x = 611,861.40 × 329,758.80
  4. Step 4: Simplify right side
    408,490.80x = 201,766,681,030.32
  5. Step 5: Solve for x
    x = 201,766,681,030.32/408,490.80
  6. Step 6: Final answer
    x = 493,932.01

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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.