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Finding the Fourth Proportional to 665,772.84, 998,910.83 and 399,718.80

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Solution

The fourth proportional to 665,772.84, 998,910.83 and 399,718.80 is: 599,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,772.84 : 998,910.83 = 399,718.80 : x
  2. Step 2: Convert to fraction form
    665,772.84/998,910.83 = 399,718.80/x
  3. Step 3: Cross multiply
    665,772.84x = 998,910.83 × 399,718.80
  4. Step 4: Simplify right side
    665,772.84x = 399,283,438,274.60
  5. Step 5: Solve for x
    x = 399,283,438,274.60/665,772.84
  6. Step 6: Final answer
    x = 599,729.24

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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.