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Finding the Fourth Proportional to 400,964.40, 601,600.20 and 394,666.80

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Solution

The fourth proportional to 400,964.40, 601,600.20 and 394,666.80 is: 592,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,964.40 : 601,600.20 = 394,666.80 : x
  2. Step 2: Convert to fraction form
    400,964.40/601,600.20 = 394,666.80/x
  3. Step 3: Cross multiply
    400,964.40x = 601,600.20 × 394,666.80
  4. Step 4: Simplify right side
    400,964.40x = 237,431,625,813.36
  5. Step 5: Solve for x
    x = 237,431,625,813.36/400,964.40
  6. Step 6: Final answer
    x = 592,151.39

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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.