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Finding the Fourth Proportional to 353,305.20, 529,957.80 and 142,834.80

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Solution

The fourth proportional to 353,305.20, 529,957.80 and 142,834.80 is: 214,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,305.20 : 529,957.80 = 142,834.80 : x
  2. Step 2: Convert to fraction form
    353,305.20/529,957.80 = 142,834.80/x
  3. Step 3: Cross multiply
    353,305.20x = 529,957.80 × 142,834.80
  4. Step 4: Simplify right side
    353,305.20x = 75,696,416,371.44
  5. Step 5: Solve for x
    x = 75,696,416,371.44/353,305.20
  6. Step 6: Final answer
    x = 214,252.20

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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.