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Finding the Fourth Proportional to 345,358.35, 517,906.31 and 165,258.90

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Solution

The fourth proportional to 345,358.35, 517,906.31 and 165,258.90 is: 247,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,358.35 : 517,906.31 = 165,258.90 : x
  2. Step 2: Convert to fraction form
    345,358.35/517,906.31 = 165,258.90/x
  3. Step 3: Cross multiply
    345,358.35x = 517,906.31 × 165,258.90
  4. Step 4: Simplify right side
    345,358.35x = 85,588,626,267.36
  5. Step 5: Solve for x
    x = 85,588,626,267.36/345,358.35
  6. Step 6: Final answer
    x = 247,825.56

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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.