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Finding the Fourth Proportional to 399,727.04, 599,662.56 and 133,461.44

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Solution

The fourth proportional to 399,727.04, 599,662.56 and 133,461.44 is: 200,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,727.04 : 599,662.56 = 133,461.44 : x
  2. Step 2: Convert to fraction form
    399,727.04/599,662.56 = 133,461.44/x
  3. Step 3: Cross multiply
    399,727.04x = 599,662.56 × 133,461.44
  4. Step 4: Simplify right side
    399,727.04x = 80,031,828,771.69
  5. Step 5: Solve for x
    x = 80,031,828,771.69/399,727.04
  6. Step 6: Final answer
    x = 200,216.20

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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.