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Finding the Fourth Proportional to 345,171.52, 517,664.64 and 145,493.44

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Solution

The fourth proportional to 345,171.52, 517,664.64 and 145,493.44 is: 218,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,171.52 : 517,664.64 = 145,493.44 : x
  2. Step 2: Convert to fraction form
    345,171.52/517,664.64 = 145,493.44/x
  3. Step 3: Cross multiply
    345,171.52x = 517,664.64 × 145,493.44
  4. Step 4: Simplify right side
    345,171.52x = 75,316,809,239.96
  5. Step 5: Solve for x
    x = 75,316,809,239.96/345,171.52
  6. Step 6: Final answer
    x = 218,201.11

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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.