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Finding the Fourth Proportional to 275,738.69, 413,725.74 and 133,688.88

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Solution

The fourth proportional to 275,738.69, 413,725.74 and 133,688.88 is: 200,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,738.69 : 413,725.74 = 133,688.88 : x
  2. Step 2: Convert to fraction form
    275,738.69/413,725.74 = 133,688.88/x
  3. Step 3: Cross multiply
    275,738.69x = 413,725.74 × 133,688.88
  4. Step 4: Simplify right side
    275,738.69x = 55,310,530,807.77
  5. Step 5: Solve for x
    x = 55,310,530,807.77/275,738.69
  6. Step 6: Final answer
    x = 200,590.39

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1.5x scale

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.