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Finding the Fourth Proportional to 345,735, 518,806.62 and 146,042.46

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Solution

The fourth proportional to 345,735, 518,806.62 and 146,042.46 is: 219,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,735 : 518,806.62 = 146,042.46 : x
  2. Step 2: Convert to fraction form
    345,735/518,806.62 = 146,042.46/x
  3. Step 3: Cross multiply
    345,735x = 518,806.62 × 146,042.46
  4. Step 4: Simplify right side
    345,735x = 75,767,795,049.09
  5. Step 5: Solve for x
    x = 75,767,795,049.09/345,735
  6. Step 6: Final answer
    x = 219,149.91

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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.