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Finding the Fourth Proportional to 286,540.70, 429,811.05 and 137,072.92

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Solution

The fourth proportional to 286,540.70, 429,811.05 and 137,072.92 is: 205,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,540.70 : 429,811.05 = 137,072.92 : x
  2. Step 2: Convert to fraction form
    286,540.70/429,811.05 = 137,072.92/x
  3. Step 3: Cross multiply
    286,540.70x = 429,811.05 × 137,072.92
  4. Step 4: Simplify right side
    286,540.70x = 58,915,455,671.77
  5. Step 5: Solve for x
    x = 58,915,455,671.77/286,540.70
  6. Step 6: Final answer
    x = 205,609.38

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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.