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Finding the Fourth Proportional to 253,604.40, 380,132.01 and 164,921.55

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Solution

The fourth proportional to 253,604.40, 380,132.01 and 164,921.55 is: 247,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,604.40 : 380,132.01 = 164,921.55 : x
  2. Step 2: Convert to fraction form
    253,604.40/380,132.01 = 164,921.55/x
  3. Step 3: Cross multiply
    253,604.40x = 380,132.01 × 164,921.55
  4. Step 4: Simplify right side
    253,604.40x = 62,691,960,293.82
  5. Step 5: Solve for x
    x = 62,691,960,293.82/253,604.40
  6. Step 6: Final answer
    x = 247,203.76

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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.