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Finding the Fourth Proportional to 400,694.96, 601,061.88 and 330,446

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Solution

The fourth proportional to 400,694.96, 601,061.88 and 330,446 is: 495,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,694.96 : 601,061.88 = 330,446 : x
  2. Step 2: Convert to fraction form
    400,694.96/601,061.88 = 330,446/x
  3. Step 3: Cross multiply
    400,694.96x = 601,061.88 × 330,446
  4. Step 4: Simplify right side
    400,694.96x = 198,618,493,998.48
  5. Step 5: Solve for x
    x = 198,618,493,998.48/400,694.96
  6. Step 6: Final answer
    x = 495,685.03

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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.