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Finding the Fourth Proportional to 418,915.68, 628,278.84 and 119,389.83

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Solution

The fourth proportional to 418,915.68, 628,278.84 and 119,389.83 is: 179,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,915.68 : 628,278.84 = 119,389.83 : x
  2. Step 2: Convert to fraction form
    418,915.68/628,278.84 = 119,389.83/x
  3. Step 3: Cross multiply
    418,915.68x = 628,278.84 × 119,389.83
  4. Step 4: Simplify right side
    418,915.68x = 75,010,103,900.20
  5. Step 5: Solve for x
    x = 75,010,103,900.20/418,915.68
  6. Step 6: Final answer
    x = 179,057.76

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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.