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Finding the Fourth Proportional to 253,651.34, 380,146.34 and 141,327.02

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Solution

The fourth proportional to 253,651.34, 380,146.34 and 141,327.02 is: 211,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,651.34 : 380,146.34 = 141,327.02 : x
  2. Step 2: Convert to fraction form
    253,651.34/380,146.34 = 141,327.02/x
  3. Step 3: Cross multiply
    253,651.34x = 380,146.34 × 141,327.02
  4. Step 4: Simplify right side
    253,651.34x = 53,724,949,396.11
  5. Step 5: Solve for x
    x = 53,724,949,396.11/253,651.34
  6. Step 6: Final answer
    x = 211,806.29

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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.