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Finding the Fourth Proportional to 509,645.20, 703,249.28 and 280,164.64

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Solution

The fourth proportional to 509,645.20, 703,249.28 and 280,164.64 is: 386,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,645.20 : 703,249.28 = 280,164.64 : x
  2. Step 2: Convert to fraction form
    509,645.20/703,249.28 = 280,164.64/x
  3. Step 3: Cross multiply
    509,645.20x = 703,249.28 × 280,164.64
  4. Step 4: Simplify right side
    509,645.20x = 197,025,581,361.46
  5. Step 5: Solve for x
    x = 197,025,581,361.46/509,645.20
  6. Step 6: Final answer
    x = 386,593.62

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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.