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Finding the Fourth Proportional to 481,451.84, 663,916.32 and 320,100.16

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Solution

The fourth proportional to 481,451.84, 663,916.32 and 320,100.16 is: 441,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,451.84 : 663,916.32 = 320,100.16 : x
  2. Step 2: Convert to fraction form
    481,451.84/663,916.32 = 320,100.16/x
  3. Step 3: Cross multiply
    481,451.84x = 663,916.32 × 320,100.16
  4. Step 4: Simplify right side
    481,451.84x = 212,519,720,258.61
  5. Step 5: Solve for x
    x = 212,519,720,258.61/481,451.84
  6. Step 6: Final answer
    x = 441,414.29

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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.