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Finding the Fourth Proportional to 419,702.42, 629,765.34 and 206,461.40

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Solution

The fourth proportional to 419,702.42, 629,765.34 and 206,461.40 is: 309,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,702.42 : 629,765.34 = 206,461.40 : x
  2. Step 2: Convert to fraction form
    419,702.42/629,765.34 = 206,461.40/x
  3. Step 3: Cross multiply
    419,702.42x = 629,765.34 × 206,461.40
  4. Step 4: Simplify right side
    419,702.42x = 130,022,233,767.88
  5. Step 5: Solve for x
    x = 130,022,233,767.88/419,702.42
  6. Step 6: Final answer
    x = 309,796.25

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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.