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Finding the Fourth Proportional to 399,976.80, 599,997.14 and 133,738.72

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Solution

The fourth proportional to 399,976.80, 599,997.14 and 133,738.72 is: 200,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,976.80 : 599,997.14 = 133,738.72 : x
  2. Step 2: Convert to fraction form
    399,976.80/599,997.14 = 133,738.72/x
  3. Step 3: Cross multiply
    399,976.80x = 599,997.14 × 133,738.72
  4. Step 4: Simplify right side
    399,976.80x = 80,242,849,507.26
  5. Step 5: Solve for x
    x = 80,242,849,507.26/399,976.80
  6. Step 6: Final answer
    x = 200,618.76

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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.