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Finding the Fourth Proportional to 419,988.72, 629,807.90 and 131,726.09

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Solution

The fourth proportional to 419,988.72, 629,807.90 and 131,726.09 is: 197,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,988.72 : 629,807.90 = 131,726.09 : x
  2. Step 2: Convert to fraction form
    419,988.72/629,807.90 = 131,726.09/x
  3. Step 3: Cross multiply
    419,988.72x = 629,807.90 × 131,726.09
  4. Step 4: Simplify right side
    419,988.72x = 82,962,134,021.95
  5. Step 5: Solve for x
    x = 82,962,134,021.95/419,988.72
  6. Step 6: Final answer
    x = 197,534.20

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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.