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Finding the Fourth Proportional to 665,765.40, 998,064.90 and 399,631.80

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Solution

The fourth proportional to 665,765.40, 998,064.90 and 399,631.80 is: 599,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,765.40 : 998,064.90 = 399,631.80 : x
  2. Step 2: Convert to fraction form
    665,765.40/998,064.90 = 399,631.80/x
  3. Step 3: Cross multiply
    665,765.40x = 998,064.90 × 399,631.80
  4. Step 4: Simplify right side
    665,765.40x = 398,858,472,503.82
  5. Step 5: Solve for x
    x = 398,858,472,503.82/665,765.40
  6. Step 6: Final answer
    x = 599,097.63

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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.