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Finding the Fourth Proportional to 509,659.20, 703,268.64 and 280,178.64

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Solution

The fourth proportional to 509,659.20, 703,268.64 and 280,178.64 is: 386,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,659.20 : 703,268.64 = 280,178.64 : x
  2. Step 2: Convert to fraction form
    509,659.20/703,268.64 = 280,178.64/x
  3. Step 3: Cross multiply
    509,659.20x = 703,268.64 × 280,178.64
  4. Step 4: Simplify right side
    509,659.20x = 197,040,851,109.85
  5. Step 5: Solve for x
    x = 197,040,851,109.85/509,659.20
  6. Step 6: Final answer
    x = 386,612.96

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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.