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Finding the Fourth Proportional to 398,562.92, 550,213.20 and 276,148.14

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Solution

The fourth proportional to 398,562.92, 550,213.20 and 276,148.14 is: 381,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,562.92 : 550,213.20 = 276,148.14 : x
  2. Step 2: Convert to fraction form
    398,562.92/550,213.20 = 276,148.14/x
  3. Step 3: Cross multiply
    398,562.92x = 550,213.20 × 276,148.14
  4. Step 4: Simplify right side
    398,562.92x = 151,940,351,783.45
  5. Step 5: Solve for x
    x = 151,940,351,783.45/398,562.92
  6. Step 6: Final answer
    x = 381,220.49

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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.