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Finding the Fourth Proportional to 345,771, 518,860.62 and 146,078.46

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Solution

The fourth proportional to 345,771, 518,860.62 and 146,078.46 is: 219,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,771 : 518,860.62 = 146,078.46 : x
  2. Step 2: Convert to fraction form
    345,771/518,860.62 = 146,078.46/x
  3. Step 3: Cross multiply
    345,771x = 518,860.62 × 146,078.46
  4. Step 4: Simplify right side
    345,771x = 75,794,360,324.25
  5. Step 5: Solve for x
    x = 75,794,360,324.25/345,771
  6. Step 6: Final answer
    x = 219,203.92

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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.