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Finding the Fourth Proportional to 355,130.25, 490,094.37 and 204,227.25

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Solution

The fourth proportional to 355,130.25, 490,094.37 and 204,227.25 is: 281,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,130.25 : 490,094.37 = 204,227.25 : x
  2. Step 2: Convert to fraction form
    355,130.25/490,094.37 = 204,227.25/x
  3. Step 3: Cross multiply
    355,130.25x = 490,094.37 × 204,227.25
  4. Step 4: Simplify right side
    355,130.25x = 100,090,625,425.58
  5. Step 5: Solve for x
    x = 100,090,625,425.58/355,130.25
  6. Step 6: Final answer
    x = 281,842.02

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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.