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Finding the Fourth Proportional to 418,722.09, 628,087.02 and 119,202.63

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Solution

The fourth proportional to 418,722.09, 628,087.02 and 119,202.63 is: 178,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,722.09 : 628,087.02 = 119,202.63 : x
  2. Step 2: Convert to fraction form
    418,722.09/628,087.02 = 119,202.63/x
  3. Step 3: Cross multiply
    418,722.09x = 628,087.02 × 119,202.63
  4. Step 4: Simplify right side
    418,722.09x = 74,869,624,652.86
  5. Step 5: Solve for x
    x = 74,869,624,652.86/418,722.09
  6. Step 6: Final answer
    x = 178,805.05

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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.