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Finding the Fourth Proportional to 505,158.12, 697,116.78 and 278,802

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Solution

The fourth proportional to 505,158.12, 697,116.78 and 278,802 is: 384,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,158.12 : 697,116.78 = 278,802 : x
  2. Step 2: Convert to fraction form
    505,158.12/697,116.78 = 278,802/x
  3. Step 3: Cross multiply
    505,158.12x = 697,116.78 × 278,802
  4. Step 4: Simplify right side
    505,158.12x = 194,357,552,497.56
  5. Step 5: Solve for x
    x = 194,357,552,497.56/505,158.12
  6. Step 6: Final answer
    x = 384,745.97

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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.