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Finding the Fourth Proportional to 253,748.77, 380,596.34 and 133,757.63

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Solution

The fourth proportional to 253,748.77, 380,596.34 and 133,757.63 is: 200,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,748.77 : 380,596.34 = 133,757.63 : x
  2. Step 2: Convert to fraction form
    253,748.77/380,596.34 = 133,757.63/x
  3. Step 3: Cross multiply
    253,748.77x = 380,596.34 × 133,757.63
  4. Step 4: Simplify right side
    253,748.77x = 50,907,663,531.34
  5. Step 5: Solve for x
    x = 50,907,663,531.34/253,748.77
  6. Step 6: Final answer
    x = 200,622.31

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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.