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Finding the Fourth Proportional to 355,359.42, 490,396.05 and 194,214.42

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Solution

The fourth proportional to 355,359.42, 490,396.05 and 194,214.42 is: 268,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,359.42 : 490,396.05 = 194,214.42 : x
  2. Step 2: Convert to fraction form
    355,359.42/490,396.05 = 194,214.42/x
  3. Step 3: Cross multiply
    355,359.42x = 490,396.05 × 194,214.42
  4. Step 4: Simplify right side
    355,359.42x = 95,241,984,421.04
  5. Step 5: Solve for x
    x = 95,241,984,421.04/355,359.42
  6. Step 6: Final answer
    x = 268,015.93

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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.