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Finding the Fourth Proportional to 480,996, 663,772.32 and 276,972.48

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Solution

The fourth proportional to 480,996, 663,772.32 and 276,972.48 is: 382,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,996 : 663,772.32 = 276,972.48 : x
  2. Step 2: Convert to fraction form
    480,996/663,772.32 = 276,972.48/x
  3. Step 3: Cross multiply
    480,996x = 663,772.32 × 276,972.48
  4. Step 4: Simplify right side
    480,996x = 183,846,665,625.75
  5. Step 5: Solve for x
    x = 183,846,665,625.75/480,996
  6. Step 6: Final answer
    x = 382,220.78

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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.