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Finding the Fourth Proportional to 471,147.68, 649,969.28 and 280,052.48

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Solution

The fourth proportional to 471,147.68, 649,969.28 and 280,052.48 is: 386,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,147.68 : 649,969.28 = 280,052.48 : x
  2. Step 2: Convert to fraction form
    471,147.68/649,969.28 = 280,052.48/x
  3. Step 3: Cross multiply
    471,147.68x = 649,969.28 × 280,052.48
  4. Step 4: Simplify right side
    471,147.68x = 182,025,508,787.81
  5. Step 5: Solve for x
    x = 182,025,508,787.81/471,147.68
  6. Step 6: Final answer
    x = 386,344.91

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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.