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Finding the Fourth Proportional to 355,188.78, 490,194.27 and 194,068.02

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Solution

The fourth proportional to 355,188.78, 490,194.27 and 194,068.02 is: 267,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,188.78 : 490,194.27 = 194,068.02 : x
  2. Step 2: Convert to fraction form
    355,188.78/490,194.27 = 194,068.02/x
  3. Step 3: Cross multiply
    355,188.78x = 490,194.27 × 194,068.02
  4. Step 4: Simplify right side
    355,188.78x = 95,131,031,394.25
  5. Step 5: Solve for x
    x = 95,131,031,394.25/355,188.78
  6. Step 6: Final answer
    x = 267,832.31

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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.