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Finding the Fourth Proportional to 255,884.09, 353,005.87 and 148,391.82

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Solution

The fourth proportional to 255,884.09, 353,005.87 and 148,391.82 is: 204,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,884.09 : 353,005.87 = 148,391.82 : x
  2. Step 2: Convert to fraction form
    255,884.09/353,005.87 = 148,391.82/x
  3. Step 3: Cross multiply
    255,884.09x = 353,005.87 × 148,391.82
  4. Step 4: Simplify right side
    255,884.09x = 52,383,184,837.42
  5. Step 5: Solve for x
    x = 52,383,184,837.42/255,884.09
  6. Step 6: Final answer
    x = 204,714.51

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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.