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Finding the Fourth Proportional to 504,454.38, 696,152.43 and 278,107.98

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Solution

The fourth proportional to 504,454.38, 696,152.43 and 278,107.98 is: 383,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,454.38 : 696,152.43 = 278,107.98 : x
  2. Step 2: Convert to fraction form
    504,454.38/696,152.43 = 278,107.98/x
  3. Step 3: Cross multiply
    504,454.38x = 696,152.43 × 278,107.98
  4. Step 4: Simplify right side
    504,454.38x = 193,605,546,079.39
  5. Step 5: Solve for x
    x = 193,605,546,079.39/504,454.38
  6. Step 6: Final answer
    x = 383,791.98

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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.