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Finding the Fourth Proportional to 203,272.48, 280,656 and 155,442.48

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Solution

The fourth proportional to 203,272.48, 280,656 and 155,442.48 is: 214,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,272.48 : 280,656 = 155,442.48 : x
  2. Step 2: Convert to fraction form
    203,272.48/280,656 = 155,442.48/x
  3. Step 3: Cross multiply
    203,272.48x = 280,656 × 155,442.48
  4. Step 4: Simplify right side
    203,272.48x = 43,625,864,666.88
  5. Step 5: Solve for x
    x = 43,625,864,666.88/203,272.48
  6. Step 6: Final answer
    x = 214,617.66

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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.