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Finding the Fourth Proportional to 419,148.96, 628,768.20 and 179,287.67

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Solution

The fourth proportional to 419,148.96, 628,768.20 and 179,287.67 is: 268,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,148.96 : 628,768.20 = 179,287.67 : x
  2. Step 2: Convert to fraction form
    419,148.96/628,768.20 = 179,287.67/x
  3. Step 3: Cross multiply
    419,148.96x = 628,768.20 × 179,287.67
  4. Step 4: Simplify right side
    419,148.96x = 112,730,385,548.09
  5. Step 5: Solve for x
    x = 112,730,385,548.09/419,148.96
  6. Step 6: Final answer
    x = 268,950.65

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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.