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Finding the Fourth Proportional to 347,299.20, 520,819.20 and 136,893.60

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Solution

The fourth proportional to 347,299.20, 520,819.20 and 136,893.60 is: 205,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,299.20 : 520,819.20 = 136,893.60 : x
  2. Step 2: Convert to fraction form
    347,299.20/520,819.20 = 136,893.60/x
  3. Step 3: Cross multiply
    347,299.20x = 520,819.20 × 136,893.60
  4. Step 4: Simplify right side
    347,299.20x = 71,296,815,237.12
  5. Step 5: Solve for x
    x = 71,296,815,237.12/347,299.20
  6. Step 6: Final answer
    x = 205,289.32

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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.