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Finding the Fourth Proportional to 354,297.24, 488,974.32 and 203,391

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Solution

The fourth proportional to 354,297.24, 488,974.32 and 203,391 is: 280,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,297.24 : 488,974.32 = 203,391 : x
  2. Step 2: Convert to fraction form
    354,297.24/488,974.32 = 203,391/x
  3. Step 3: Cross multiply
    354,297.24x = 488,974.32 × 203,391
  4. Step 4: Simplify right side
    354,297.24x = 99,452,975,919.12
  5. Step 5: Solve for x
    x = 99,452,975,919.12/354,297.24
  6. Step 6: Final answer
    x = 280,704.91

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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.