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Finding the Fourth Proportional to 286,542.70, 429,814.05 and 76,201.90

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Solution

The fourth proportional to 286,542.70, 429,814.05 and 76,201.90 is: 114,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,542.70 : 429,814.05 = 76,201.90 : x
  2. Step 2: Convert to fraction form
    286,542.70/429,814.05 = 76,201.90/x
  3. Step 3: Cross multiply
    286,542.70x = 429,814.05 × 76,201.90
  4. Step 4: Simplify right side
    286,542.70x = 32,752,647,256.70
  5. Step 5: Solve for x
    x = 32,752,647,256.70/286,542.70
  6. Step 6: Final answer
    x = 114,302.85

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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.