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Finding the Fourth Proportional to 419,195.20, 628,397.52 and 208,634.08

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Solution

The fourth proportional to 419,195.20, 628,397.52 and 208,634.08 is: 312,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,195.20 : 628,397.52 = 208,634.08 : x
  2. Step 2: Convert to fraction form
    419,195.20/628,397.52 = 208,634.08/x
  3. Step 3: Cross multiply
    419,195.20x = 628,397.52 × 208,634.08
  4. Step 4: Simplify right side
    419,195.20x = 131,105,138,459.48
  5. Step 5: Solve for x
    x = 131,105,138,459.48/419,195.20
  6. Step 6: Final answer
    x = 312,754.39

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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.