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Finding the Fourth Proportional to 665,360.85, 998,137.60 and 209,797.45

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Solution

The fourth proportional to 665,360.85, 998,137.60 and 209,797.45 is: 314,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,360.85 : 998,137.60 = 209,797.45 : x
  2. Step 2: Convert to fraction form
    665,360.85/998,137.60 = 209,797.45/x
  3. Step 3: Cross multiply
    665,360.85x = 998,137.60 × 209,797.45
  4. Step 4: Simplify right side
    665,360.85x = 209,406,723,817.08
  5. Step 5: Solve for x
    x = 209,406,723,817.08/665,360.85
  6. Step 6: Final answer
    x = 314,726.55

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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.