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Finding the Fourth Proportional to 418,897.21, 628,366.57 and 119,421.91

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Solution

The fourth proportional to 418,897.21, 628,366.57 and 119,421.91 is: 179,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,897.21 : 628,366.57 = 119,421.91 : x
  2. Step 2: Convert to fraction form
    418,897.21/628,366.57 = 119,421.91/x
  3. Step 3: Cross multiply
    418,897.21x = 628,366.57 × 119,421.91
  4. Step 4: Simplify right side
    418,897.21x = 75,040,735,969.55
  5. Step 5: Solve for x
    x = 75,040,735,969.55/418,897.21
  6. Step 6: Final answer
    x = 179,138.78

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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.