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Finding the Fourth Proportional to 419,208.20, 628,417.02 and 208,647.08

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Solution

The fourth proportional to 419,208.20, 628,417.02 and 208,647.08 is: 312,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,208.20 : 628,417.02 = 208,647.08 : x
  2. Step 2: Convert to fraction form
    419,208.20/628,417.02 = 208,647.08/x
  3. Step 3: Cross multiply
    419,208.20x = 628,417.02 × 208,647.08
  4. Step 4: Simplify right side
    419,208.20x = 131,117,376,245.30
  5. Step 5: Solve for x
    x = 131,117,376,245.30/419,208.20
  6. Step 6: Final answer
    x = 312,773.88

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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.