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Finding the Fourth Proportional to 253,128.93, 380,383.16 and 134,884.77

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Solution

The fourth proportional to 253,128.93, 380,383.16 and 134,884.77 is: 202,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,128.93 : 380,383.16 = 134,884.77 : x
  2. Step 2: Convert to fraction form
    253,128.93/380,383.16 = 134,884.77/x
  3. Step 3: Cross multiply
    253,128.93x = 380,383.16 × 134,884.77
  4. Step 4: Simplify right side
    253,128.93x = 51,307,894,374.05
  5. Step 5: Solve for x
    x = 51,307,894,374.05/253,128.93
  6. Step 6: Final answer
    x = 202,694.71

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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.