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Finding the Fourth Proportional to 361,383, 498,708.54 and 202,407

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Solution

The fourth proportional to 361,383, 498,708.54 and 202,407 is: 279,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,383 : 498,708.54 = 202,407 : x
  2. Step 2: Convert to fraction form
    361,383/498,708.54 = 202,407/x
  3. Step 3: Cross multiply
    361,383x = 498,708.54 × 202,407
  4. Step 4: Simplify right side
    361,383x = 100,942,099,455.78
  5. Step 5: Solve for x
    x = 100,942,099,455.78/361,383
  6. Step 6: Final answer
    x = 279,321.66

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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.