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Finding the Fourth Proportional to 393,783.80, 590,990.99 and 204,298.47

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Solution

The fourth proportional to 393,783.80, 590,990.99 and 204,298.47 is: 306,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,783.80 : 590,990.99 = 204,298.47 : x
  2. Step 2: Convert to fraction form
    393,783.80/590,990.99 = 204,298.47/x
  3. Step 3: Cross multiply
    393,783.80x = 590,990.99 × 204,298.47
  4. Step 4: Simplify right side
    393,783.80x = 120,738,554,019.29
  5. Step 5: Solve for x
    x = 120,738,554,019.29/393,783.80
  6. Step 6: Final answer
    x = 306,611.28

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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.