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Finding the Fourth Proportional to 355,175.96, 490,150.05 and 194,041.45

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Solution

The fourth proportional to 355,175.96, 490,150.05 and 194,041.45 is: 267,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,175.96 : 490,150.05 = 194,041.45 : x
  2. Step 2: Convert to fraction form
    355,175.96/490,150.05 = 194,041.45/x
  3. Step 3: Cross multiply
    355,175.96x = 490,150.05 × 194,041.45
  4. Step 4: Simplify right side
    355,175.96x = 95,109,423,968.82
  5. Step 5: Solve for x
    x = 95,109,423,968.82/355,175.96
  6. Step 6: Final answer
    x = 267,781.14

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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.