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Finding the Fourth Proportional to 345,099.91, 517,774.42 and 120,493.43

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Solution

The fourth proportional to 345,099.91, 517,774.42 and 120,493.43 is: 180,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,099.91 : 517,774.42 = 120,493.43 : x
  2. Step 2: Convert to fraction form
    345,099.91/517,774.42 = 120,493.43/x
  3. Step 3: Cross multiply
    345,099.91x = 517,774.42 × 120,493.43
  4. Step 4: Simplify right side
    345,099.91x = 62,388,415,229.59
  5. Step 5: Solve for x
    x = 62,388,415,229.59/345,099.91
  6. Step 6: Final answer
    x = 180,783.63

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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.