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Finding the Fourth Proportional to 419,216.20, 628,429.02 and 208,655.08

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Solution

The fourth proportional to 419,216.20, 628,429.02 and 208,655.08 is: 312,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,216.20 : 628,429.02 = 208,655.08 : x
  2. Step 2: Convert to fraction form
    419,216.20/628,429.02 = 208,655.08/x
  3. Step 3: Cross multiply
    419,216.20x = 628,429.02 × 208,655.08
  4. Step 4: Simplify right side
    419,216.20x = 131,124,907,442.42
  5. Step 5: Solve for x
    x = 131,124,907,442.42/419,216.20
  6. Step 6: Final answer
    x = 312,785.88

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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.