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Finding the Fourth Proportional to 418,981.21, 628,477.66 and 119,461.90

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Solution

The fourth proportional to 418,981.21, 628,477.66 and 119,461.90 is: 179,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,981.21 : 628,477.66 = 119,461.90 : x
  2. Step 2: Convert to fraction form
    418,981.21/628,477.66 = 119,461.90/x
  3. Step 3: Cross multiply
    418,981.21x = 628,477.66 × 119,461.90
  4. Step 4: Simplify right side
    418,981.21x = 75,079,137,241.00
  5. Step 5: Solve for x
    x = 75,079,137,241.00/418,981.21
  6. Step 6: Final answer
    x = 179,194.52

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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.