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Finding the Fourth Proportional to 253,858.56, 380,820.24 and 85,306.56

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Solution

The fourth proportional to 253,858.56, 380,820.24 and 85,306.56 is: 127,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,858.56 : 380,820.24 = 85,306.56 : x
  2. Step 2: Convert to fraction form
    253,858.56/380,820.24 = 85,306.56/x
  3. Step 3: Cross multiply
    253,858.56x = 380,820.24 × 85,306.56
  4. Step 4: Simplify right side
    253,858.56x = 32,486,464,652.77
  5. Step 5: Solve for x
    x = 32,486,464,652.77/253,858.56
  6. Step 6: Final answer
    x = 127,970.73

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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.