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Finding the Fourth Proportional to 355,265.72, 490,270.14 and 194,120.75

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Solution

The fourth proportional to 355,265.72, 490,270.14 and 194,120.75 is: 267,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,265.72 : 490,270.14 = 194,120.75 : x
  2. Step 2: Convert to fraction form
    355,265.72/490,270.14 = 194,120.75/x
  3. Step 3: Cross multiply
    355,265.72x = 490,270.14 × 194,120.75
  4. Step 4: Simplify right side
    355,265.72x = 95,171,607,279.41
  5. Step 5: Solve for x
    x = 95,171,607,279.41/355,265.72
  6. Step 6: Final answer
    x = 267,888.52

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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.