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Finding the Fourth Proportional to 395,215.68, 592,832.34 and 142,516.56

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Solution

The fourth proportional to 395,215.68, 592,832.34 and 142,516.56 is: 213,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,215.68 : 592,832.34 = 142,516.56 : x
  2. Step 2: Convert to fraction form
    395,215.68/592,832.34 = 142,516.56/x
  3. Step 3: Cross multiply
    395,215.68x = 592,832.34 × 142,516.56
  4. Step 4: Simplify right side
    395,215.68x = 84,488,425,753.55
  5. Step 5: Solve for x
    x = 84,488,425,753.55/395,215.68
  6. Step 6: Final answer
    x = 213,778.02

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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.