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Finding the Fourth Proportional to 342,709.92, 472,934.80 and 189,733.44

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Solution

The fourth proportional to 342,709.92, 472,934.80 and 189,733.44 is: 261,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,709.92 : 472,934.80 = 189,733.44 : x
  2. Step 2: Convert to fraction form
    342,709.92/472,934.80 = 189,733.44/x
  3. Step 3: Cross multiply
    342,709.92x = 472,934.80 × 189,733.44
  4. Step 4: Simplify right side
    342,709.92x = 89,731,546,499.71
  5. Step 5: Solve for x
    x = 89,731,546,499.71/342,709.92
  6. Step 6: Final answer
    x = 261,829.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.