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Finding the Fourth Proportional to 345,954.92, 518,954.24 and 146,249.01

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Solution

The fourth proportional to 345,954.92, 518,954.24 and 146,249.01 is: 219,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,954.92 : 518,954.24 = 146,249.01 : x
  2. Step 2: Convert to fraction form
    345,954.92/518,954.24 = 146,249.01/x
  3. Step 3: Cross multiply
    345,954.92x = 518,954.24 × 146,249.01
  4. Step 4: Simplify right side
    345,954.92x = 75,896,544,200.92
  5. Step 5: Solve for x
    x = 75,896,544,200.92/345,954.92
  6. Step 6: Final answer
    x = 219,382.76

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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.