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Finding the Fourth Proportional to 353,203.20, 529,804.80 and 142,732.80

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Solution

The fourth proportional to 353,203.20, 529,804.80 and 142,732.80 is: 214,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,203.20 : 529,804.80 = 142,732.80 : x
  2. Step 2: Convert to fraction form
    353,203.20/529,804.80 = 142,732.80/x
  3. Step 3: Cross multiply
    353,203.20x = 529,804.80 × 142,732.80
  4. Step 4: Simplify right side
    353,203.20x = 75,620,522,557.44
  5. Step 5: Solve for x
    x = 75,620,522,557.44/353,203.20
  6. Step 6: Final answer
    x = 214,099.20

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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.