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Finding the Fourth Proportional to 418,934.59, 628,500.29 and 119,419.47

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Solution

The fourth proportional to 418,934.59, 628,500.29 and 119,419.47 is: 179,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,934.59 : 628,500.29 = 119,419.47 : x
  2. Step 2: Convert to fraction form
    418,934.59/628,500.29 = 119,419.47/x
  3. Step 3: Cross multiply
    418,934.59x = 628,500.29 × 119,419.47
  4. Step 4: Simplify right side
    418,934.59x = 75,055,171,526.65
  5. Step 5: Solve for x
    x = 75,055,171,526.65/418,934.59
  6. Step 6: Final answer
    x = 179,157.26

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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.