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Finding the Fourth Proportional to 503,494.88, 694,827.60 and 277,142

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Solution

The fourth proportional to 503,494.88, 694,827.60 and 277,142 is: 382,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,494.88 : 694,827.60 = 277,142 : x
  2. Step 2: Convert to fraction form
    503,494.88/694,827.60 = 277,142/x
  3. Step 3: Cross multiply
    503,494.88x = 694,827.60 × 277,142
  4. Step 4: Simplify right side
    503,494.88x = 192,565,910,719.20
  5. Step 5: Solve for x
    x = 192,565,910,719.20/503,494.88
  6. Step 6: Final answer
    x = 382,458.53

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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.