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Finding the Fourth Proportional to 419,145.90, 628,613.82 and 179,141.16

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Solution

The fourth proportional to 419,145.90, 628,613.82 and 179,141.16 is: 268,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,145.90 : 628,613.82 = 179,141.16 : x
  2. Step 2: Convert to fraction form
    419,145.90/628,613.82 = 179,141.16/x
  3. Step 3: Cross multiply
    419,145.90x = 628,613.82 × 179,141.16
  4. Step 4: Simplify right side
    419,145.90x = 112,610,608,906.83
  5. Step 5: Solve for x
    x = 112,610,608,906.83/419,145.90
  6. Step 6: Final answer
    x = 268,666.85

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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.