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Finding the Fourth Proportional to 407,164.86, 610,747.29 and 126,626.22

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Solution

The fourth proportional to 407,164.86, 610,747.29 and 126,626.22 is: 189,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,164.86 : 610,747.29 = 126,626.22 : x
  2. Step 2: Convert to fraction form
    407,164.86/610,747.29 = 126,626.22/x
  3. Step 3: Cross multiply
    407,164.86x = 610,747.29 × 126,626.22
  4. Step 4: Simplify right side
    407,164.86x = 77,336,620,707.94
  5. Step 5: Solve for x
    x = 77,336,620,707.94/407,164.86
  6. Step 6: Final answer
    x = 189,939.33

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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.