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Finding the Fourth Proportional to 419,897.94, 629,844.57 and 104,354.70

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Solution

The fourth proportional to 419,897.94, 629,844.57 and 104,354.70 is: 156,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,897.94 : 629,844.57 = 104,354.70 : x
  2. Step 2: Convert to fraction form
    419,897.94/629,844.57 = 104,354.70/x
  3. Step 3: Cross multiply
    419,897.94x = 629,844.57 × 104,354.70
  4. Step 4: Simplify right side
    419,897.94x = 65,727,241,148.98
  5. Step 5: Solve for x
    x = 65,727,241,148.98/419,897.94
  6. Step 6: Final answer
    x = 156,531.47

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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.