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Finding the Fourth Proportional to 418,882.95, 628,086.42 and 285,924.15

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Solution

The fourth proportional to 418,882.95, 628,086.42 and 285,924.15 is: 428,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,882.95 : 628,086.42 = 285,924.15 : x
  2. Step 2: Convert to fraction form
    418,882.95/628,086.42 = 285,924.15/x
  3. Step 3: Cross multiply
    418,882.95x = 628,086.42 × 285,924.15
  4. Step 4: Simplify right side
    418,882.95x = 179,585,075,765.04
  5. Step 5: Solve for x
    x = 179,585,075,765.04/418,882.95
  6. Step 6: Final answer
    x = 428,723.77

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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.