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Finding the Fourth Proportional to 355,353.42, 490,372.95 and 194,214.03

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Solution

The fourth proportional to 355,353.42, 490,372.95 and 194,214.03 is: 268,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,353.42 : 490,372.95 = 194,214.03 : x
  2. Step 2: Convert to fraction form
    355,353.42/490,372.95 = 194,214.03/x
  3. Step 3: Cross multiply
    355,353.42x = 490,372.95 × 194,214.03
  4. Step 4: Simplify right side
    355,353.42x = 95,237,306,822.49
  5. Step 5: Solve for x
    x = 95,237,306,822.49/355,353.42
  6. Step 6: Final answer
    x = 268,007.29

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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.