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Finding the Fourth Proportional to 509,765.69, 703,494.75 and 280,340.42

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Solution

The fourth proportional to 509,765.69, 703,494.75 and 280,340.42 is: 386,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,765.69 : 703,494.75 = 280,340.42 : x
  2. Step 2: Convert to fraction form
    509,765.69/703,494.75 = 280,340.42/x
  3. Step 3: Cross multiply
    509,765.69x = 703,494.75 × 280,340.42
  4. Step 4: Simplify right side
    509,765.69x = 197,218,015,441.53
  5. Step 5: Solve for x
    x = 197,218,015,441.53/509,765.69
  6. Step 6: Final answer
    x = 386,879.73

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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.