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Finding the Fourth Proportional to 345,175.20, 517,276.80 and 274,219.20

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Solution

The fourth proportional to 345,175.20, 517,276.80 and 274,219.20 is: 410,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,175.20 : 517,276.80 = 274,219.20 : x
  2. Step 2: Convert to fraction form
    345,175.20/517,276.80 = 274,219.20/x
  3. Step 3: Cross multiply
    345,175.20x = 517,276.80 × 274,219.20
  4. Step 4: Simplify right side
    345,175.20x = 141,847,230,274.56
  5. Step 5: Solve for x
    x = 141,847,230,274.56/345,175.20
  6. Step 6: Final answer
    x = 410,942.70

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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.