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Finding the Fourth Proportional to 253,743.56, 380,496.14 and 147,157.80

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Solution

The fourth proportional to 253,743.56, 380,496.14 and 147,157.80 is: 220,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,743.56 : 380,496.14 = 147,157.80 : x
  2. Step 2: Convert to fraction form
    253,743.56/380,496.14 = 147,157.80/x
  3. Step 3: Cross multiply
    253,743.56x = 380,496.14 × 147,157.80
  4. Step 4: Simplify right side
    253,743.56x = 55,992,974,135.10
  5. Step 5: Solve for x
    x = 55,992,974,135.10/253,743.56
  6. Step 6: Final answer
    x = 220,667.57

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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.