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Finding the Fourth Proportional to 412,458.60, 617,949.79 and 353,409.60

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Solution

The fourth proportional to 412,458.60, 617,949.79 and 353,409.60 is: 529,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,458.60 : 617,949.79 = 353,409.60 : x
  2. Step 2: Convert to fraction form
    412,458.60/617,949.79 = 353,409.60/x
  3. Step 3: Cross multiply
    412,458.60x = 617,949.79 × 353,409.60
  4. Step 4: Simplify right side
    412,458.60x = 218,389,387,220.46
  5. Step 5: Solve for x
    x = 218,389,387,220.46/412,458.60
  6. Step 6: Final answer
    x = 529,481.96

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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.