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Finding the Fourth Proportional to 419,943.50, 629,978.70 and 135,539

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Solution

The fourth proportional to 419,943.50, 629,978.70 and 135,539 is: 203,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,943.50 : 629,978.70 = 135,539 : x
  2. Step 2: Convert to fraction form
    419,943.50/629,978.70 = 135,539/x
  3. Step 3: Cross multiply
    419,943.50x = 629,978.70 × 135,539
  4. Step 4: Simplify right side
    419,943.50x = 85,386,683,019.30
  5. Step 5: Solve for x
    x = 85,386,683,019.30/419,943.50
  6. Step 6: Final answer
    x = 203,328.98

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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.