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Finding the Fourth Proportional to 286,134.92, 429,211.40 and 136,391.48

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Solution

The fourth proportional to 286,134.92, 429,211.40 and 136,391.48 is: 204,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,134.92 : 429,211.40 = 136,391.48 : x
  2. Step 2: Convert to fraction form
    286,134.92/429,211.40 = 136,391.48/x
  3. Step 3: Cross multiply
    286,134.92x = 429,211.40 × 136,391.48
  4. Step 4: Simplify right side
    286,134.92x = 58,540,778,078.87
  5. Step 5: Solve for x
    x = 58,540,778,078.87/286,134.92
  6. Step 6: Final answer
    x = 204,591.52

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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.