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Finding the Fourth Proportional to 342,662.56, 513,716.72 and 143,135.76

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Solution

The fourth proportional to 342,662.56, 513,716.72 and 143,135.76 is: 214,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,662.56 : 513,716.72 = 143,135.76 : x
  2. Step 2: Convert to fraction form
    342,662.56/513,716.72 = 143,135.76/x
  3. Step 3: Cross multiply
    342,662.56x = 513,716.72 × 143,135.76
  4. Step 4: Simplify right side
    342,662.56x = 73,531,233,141.91
  5. Step 5: Solve for x
    x = 73,531,233,141.91/342,662.56
  6. Step 6: Final answer
    x = 214,587.88

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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.