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Finding the Fourth Proportional to 354,090.93, 488,630.17 and 201,128.64

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Solution

The fourth proportional to 354,090.93, 488,630.17 and 201,128.64 is: 277,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,090.93 : 488,630.17 = 201,128.64 : x
  2. Step 2: Convert to fraction form
    354,090.93/488,630.17 = 201,128.64/x
  3. Step 3: Cross multiply
    354,090.93x = 488,630.17 × 201,128.64
  4. Step 4: Simplify right side
    354,090.93x = 98,277,519,974.12
  5. Step 5: Solve for x
    x = 98,277,519,974.12/354,090.93
  6. Step 6: Final answer
    x = 277,548.82

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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.