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Finding the Fourth Proportional to 279,248.52, 415,714.22 and 277,587.75

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Solution

The fourth proportional to 279,248.52, 415,714.22 and 277,587.75 is: 413,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,248.52 : 415,714.22 = 277,587.75 : x
  2. Step 2: Convert to fraction form
    279,248.52/415,714.22 = 277,587.75/x
  3. Step 3: Cross multiply
    279,248.52x = 415,714.22 × 277,587.75
  4. Step 4: Simplify right side
    279,248.52x = 115,397,173,584.87
  5. Step 5: Solve for x
    x = 115,397,173,584.87/279,248.52
  6. Step 6: Final answer
    x = 413,241.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.