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Finding the Fourth Proportional to 342,238.14, 513,357.27 and 92,920.14

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Solution

The fourth proportional to 342,238.14, 513,357.27 and 92,920.14 is: 139,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,238.14 : 513,357.27 = 92,920.14 : x
  2. Step 2: Convert to fraction form
    342,238.14/513,357.27 = 92,920.14/x
  3. Step 3: Cross multiply
    342,238.14x = 513,357.27 × 92,920.14
  4. Step 4: Simplify right side
    342,238.14x = 47,701,229,398.42
  5. Step 5: Solve for x
    x = 47,701,229,398.42/342,238.14
  6. Step 6: Final answer
    x = 139,380.23

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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.