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Finding the Fourth Proportional to 399,222.90, 598,917.55 and 133,066.10

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Solution

The fourth proportional to 399,222.90, 598,917.55 and 133,066.10 is: 199,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,222.90 : 598,917.55 = 133,066.10 : x
  2. Step 2: Convert to fraction form
    399,222.90/598,917.55 = 133,066.10/x
  3. Step 3: Cross multiply
    399,222.90x = 598,917.55 × 133,066.10
  4. Step 4: Simplify right side
    399,222.90x = 79,695,622,600.06
  5. Step 5: Solve for x
    x = 79,695,622,600.06/399,222.90
  6. Step 6: Final answer
    x = 199,626.88

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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.