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Finding the Fourth Proportional to 505,165.78, 697,125.33 and 278,811.30

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Solution

The fourth proportional to 505,165.78, 697,125.33 and 278,811.30 is: 384,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,165.78 : 697,125.33 = 278,811.30 : x
  2. Step 2: Convert to fraction form
    505,165.78/697,125.33 = 278,811.30/x
  3. Step 3: Cross multiply
    505,165.78x = 697,125.33 × 278,811.30
  4. Step 4: Simplify right side
    505,165.78x = 194,366,419,520.23
  5. Step 5: Solve for x
    x = 194,366,419,520.23/505,165.78
  6. Step 6: Final answer
    x = 384,757.69

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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.