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Finding the Fourth Proportional to 399,811.66, 599,348.44 and 199,958.14

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Solution

The fourth proportional to 399,811.66, 599,348.44 and 199,958.14 is: 299,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,811.66 : 599,348.44 = 199,958.14 : x
  2. Step 2: Convert to fraction form
    399,811.66/599,348.44 = 199,958.14/x
  3. Step 3: Cross multiply
    399,811.66x = 599,348.44 × 199,958.14
  4. Step 4: Simplify right side
    399,811.66x = 119,844,599,274.30
  5. Step 5: Solve for x
    x = 119,844,599,274.30/399,811.66
  6. Step 6: Final answer
    x = 299,752.64

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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.