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Finding the Fourth Proportional to 509,608.14, 703,241.31 and 280,163.76

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Solution

The fourth proportional to 509,608.14, 703,241.31 and 280,163.76 is: 386,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,608.14 : 703,241.31 = 280,163.76 : x
  2. Step 2: Convert to fraction form
    509,608.14/703,241.31 = 280,163.76/x
  3. Step 3: Cross multiply
    509,608.14x = 703,241.31 × 280,163.76
  4. Step 4: Simplify right side
    509,608.14x = 197,022,733,156.02
  5. Step 5: Solve for x
    x = 197,022,733,156.02/509,608.14
  6. Step 6: Final answer
    x = 386,616.14

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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.