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Finding the Fourth Proportional to 481,119, 663,179.31 and 378,982.74

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Solution

The fourth proportional to 481,119, 663,179.31 and 378,982.74 is: 522,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,119 : 663,179.31 = 378,982.74 : x
  2. Step 2: Convert to fraction form
    481,119/663,179.31 = 378,982.74/x
  3. Step 3: Cross multiply
    481,119x = 663,179.31 × 378,982.74
  4. Step 4: Simplify right side
    481,119x = 251,333,512,015.11
  5. Step 5: Solve for x
    x = 251,333,512,015.11/481,119
  6. Step 6: Final answer
    x = 522,393.65

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1.5x scale

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.