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Finding the Fourth Proportional to 253,865.52, 380,699.86 and 135,472.28

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Solution

The fourth proportional to 253,865.52, 380,699.86 and 135,472.28 is: 203,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,865.52 : 380,699.86 = 135,472.28 : x
  2. Step 2: Convert to fraction form
    253,865.52/380,699.86 = 135,472.28/x
  3. Step 3: Cross multiply
    253,865.52x = 380,699.86 × 135,472.28
  4. Step 4: Simplify right side
    253,865.52x = 51,574,278,029.88
  5. Step 5: Solve for x
    x = 51,574,278,029.88/253,865.52
  6. Step 6: Final answer
    x = 203,155.90

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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.