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Finding the Fourth Proportional to 355,430.69, 490,494.38 and 194,286.38

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Solution

The fourth proportional to 355,430.69, 490,494.38 and 194,286.38 is: 268,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,430.69 : 490,494.38 = 194,286.38 : x
  2. Step 2: Convert to fraction form
    355,430.69/490,494.38 = 194,286.38/x
  3. Step 3: Cross multiply
    355,430.69x = 490,494.38 × 194,286.38
  4. Step 4: Simplify right side
    355,430.69x = 95,296,376,529.11
  5. Step 5: Solve for x
    x = 95,296,376,529.11/355,430.69
  6. Step 6: Final answer
    x = 268,115.22

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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.