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Finding the Fourth Proportional to 345,538.92, 518,378.85 and 195,846.06

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Solution

The fourth proportional to 345,538.92, 518,378.85 and 195,846.06 is: 293,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,538.92 : 518,378.85 = 195,846.06 : x
  2. Step 2: Convert to fraction form
    345,538.92/518,378.85 = 195,846.06/x
  3. Step 3: Cross multiply
    345,538.92x = 518,378.85 × 195,846.06
  4. Step 4: Simplify right side
    345,538.92x = 101,522,455,359.83
  5. Step 5: Solve for x
    x = 101,522,455,359.83/345,538.92
  6. Step 6: Final answer
    x = 293,809.03

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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.