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Finding the Fourth Proportional to 490,786.62, 736,189.16 and 153,819.82

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Solution

The fourth proportional to 490,786.62, 736,189.16 and 153,819.82 is: 230,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,786.62 : 736,189.16 = 153,819.82 : x
  2. Step 2: Convert to fraction form
    490,786.62/736,189.16 = 153,819.82/x
  3. Step 3: Cross multiply
    490,786.62x = 736,189.16 × 153,819.82
  4. Step 4: Simplify right side
    490,786.62x = 113,240,484,077.15
  5. Step 5: Solve for x
    x = 113,240,484,077.15/490,786.62
  6. Step 6: Final answer
    x = 230,732.62

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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.