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Finding the Fourth Proportional to 342,227.20, 513,063.60 and 142,697.20

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Solution

The fourth proportional to 342,227.20, 513,063.60 and 142,697.20 is: 213,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,227.20 : 513,063.60 = 142,697.20 : x
  2. Step 2: Convert to fraction form
    342,227.20/513,063.60 = 142,697.20/x
  3. Step 3: Cross multiply
    342,227.20x = 513,063.60 × 142,697.20
  4. Step 4: Simplify right side
    342,227.20x = 73,212,739,141.92
  5. Step 5: Solve for x
    x = 73,212,739,141.92/342,227.20
  6. Step 6: Final answer
    x = 213,930.22

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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.