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Finding the Fourth Proportional to 203,302.44, 280,697.40 and 155,472.48

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Solution

The fourth proportional to 203,302.44, 280,697.40 and 155,472.48 is: 214,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,302.44 : 280,697.40 = 155,472.48 : x
  2. Step 2: Convert to fraction form
    203,302.44/280,697.40 = 155,472.48/x
  3. Step 3: Cross multiply
    203,302.44x = 280,697.40 × 155,472.48
  4. Step 4: Simplify right side
    203,302.44x = 43,640,720,907.55
  5. Step 5: Solve for x
    x = 43,640,720,907.55/203,302.44
  6. Step 6: Final answer
    x = 214,659.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.