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Finding the Fourth Proportional to 407,165.86, 610,748.79 and 126,627.22

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Solution

The fourth proportional to 407,165.86, 610,748.79 and 126,627.22 is: 189,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,165.86 : 610,748.79 = 126,627.22 : x
  2. Step 2: Convert to fraction form
    407,165.86/610,748.79 = 126,627.22/x
  3. Step 3: Cross multiply
    407,165.86x = 610,748.79 × 126,627.22
  4. Step 4: Simplify right side
    407,165.86x = 77,337,421,396.06
  5. Step 5: Solve for x
    x = 77,337,421,396.06/407,165.86
  6. Step 6: Final answer
    x = 189,940.83

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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.