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Finding the Fourth Proportional to 353,380.10, 487,664.16 and 192,234.77

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Solution

The fourth proportional to 353,380.10, 487,664.16 and 192,234.77 is: 265,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,380.10 : 487,664.16 = 192,234.77 : x
  2. Step 2: Convert to fraction form
    353,380.10/487,664.16 = 192,234.77/x
  3. Step 3: Cross multiply
    353,380.10x = 487,664.16 × 192,234.77
  4. Step 4: Simplify right side
    353,380.10x = 93,746,007,385.70
  5. Step 5: Solve for x
    x = 93,746,007,385.70/353,380.10
  6. Step 6: Final answer
    x = 265,283.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.