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Finding the Fourth Proportional to 418,741.92, 628,104.78 and 119,224.44

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Solution

The fourth proportional to 418,741.92, 628,104.78 and 119,224.44 is: 178,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,741.92 : 628,104.78 = 119,224.44 : x
  2. Step 2: Convert to fraction form
    418,741.92/628,104.78 = 119,224.44/x
  3. Step 3: Cross multiply
    418,741.92x = 628,104.78 × 119,224.44
  4. Step 4: Simplify right side
    418,741.92x = 74,885,440,656.82
  5. Step 5: Solve for x
    x = 74,885,440,656.82/418,741.92
  6. Step 6: Final answer
    x = 178,834.35

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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.