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Finding the Fourth Proportional to 253,755.28, 380,665.72 and 85,203.20

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Solution

The fourth proportional to 253,755.28, 380,665.72 and 85,203.20 is: 127,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,755.28 : 380,665.72 = 85,203.20 : x
  2. Step 2: Convert to fraction form
    253,755.28/380,665.72 = 85,203.20/x
  3. Step 3: Cross multiply
    253,755.28x = 380,665.72 × 85,203.20
  4. Step 4: Simplify right side
    253,755.28x = 32,433,937,474.30
  5. Step 5: Solve for x
    x = 32,433,937,474.30/253,755.28
  6. Step 6: Final answer
    x = 127,815.81

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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.