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Finding the Fourth Proportional to 340,144.89, 510,196.68 and 126,871.69

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Solution

The fourth proportional to 340,144.89, 510,196.68 and 126,871.69 is: 190,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,144.89 : 510,196.68 = 126,871.69 : x
  2. Step 2: Convert to fraction form
    340,144.89/510,196.68 = 126,871.69/x
  3. Step 3: Cross multiply
    340,144.89x = 510,196.68 × 126,871.69
  4. Step 4: Simplify right side
    340,144.89x = 64,729,515,023.99
  5. Step 5: Solve for x
    x = 64,729,515,023.99/340,144.89
  6. Step 6: Final answer
    x = 190,299.83

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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.