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Finding the Fourth Proportional to 505,251.12, 697,245.12 and 278,895

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Solution

The fourth proportional to 505,251.12, 697,245.12 and 278,895 is: 384,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,251.12 : 697,245.12 = 278,895 : x
  2. Step 2: Convert to fraction form
    505,251.12/697,245.12 = 278,895/x
  3. Step 3: Cross multiply
    505,251.12x = 697,245.12 × 278,895
  4. Step 4: Simplify right side
    505,251.12x = 194,458,177,742.40
  5. Step 5: Solve for x
    x = 194,458,177,742.40/505,251.12
  6. Step 6: Final answer
    x = 384,874.31

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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.