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Finding the Fourth Proportional to 504,874.98, 696,729.96 and 278,520.48

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Solution

The fourth proportional to 504,874.98, 696,729.96 and 278,520.48 is: 384,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,874.98 : 696,729.96 = 278,520.48 : x
  2. Step 2: Convert to fraction form
    504,874.98/696,729.96 = 278,520.48/x
  3. Step 3: Cross multiply
    504,874.98x = 696,729.96 × 278,520.48
  4. Step 4: Simplify right side
    504,874.98x = 194,053,562,889.58
  5. Step 5: Solve for x
    x = 194,053,562,889.58/504,874.98
  6. Step 6: Final answer
    x = 384,359.63

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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.