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Finding the Fourth Proportional to 417,728.91, 626,695.44 and 133,419.51

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Solution

The fourth proportional to 417,728.91, 626,695.44 and 133,419.51 is: 200,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,728.91 : 626,695.44 = 133,419.51 : x
  2. Step 2: Convert to fraction form
    417,728.91/626,695.44 = 133,419.51/x
  3. Step 3: Cross multiply
    417,728.91x = 626,695.44 × 133,419.51
  4. Step 4: Simplify right side
    417,728.91x = 83,613,398,524.03
  5. Step 5: Solve for x
    x = 83,613,398,524.03/417,728.91
  6. Step 6: Final answer
    x = 200,161.87

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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.