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Finding the Fourth Proportional to 490,798.09, 736,590.84 and 254,208.43

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Solution

The fourth proportional to 490,798.09, 736,590.84 and 254,208.43 is: 381,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,798.09 : 736,590.84 = 254,208.43 : x
  2. Step 2: Convert to fraction form
    490,798.09/736,590.84 = 254,208.43/x
  3. Step 3: Cross multiply
    490,798.09x = 736,590.84 × 254,208.43
  4. Step 4: Simplify right side
    490,798.09x = 187,247,599,147.30
  5. Step 5: Solve for x
    x = 187,247,599,147.30/490,798.09
  6. Step 6: Final answer
    x = 381,516.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.