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Finding the Fourth Proportional to 490,785.91, 736,188.09 and 153,819.10

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Solution

The fourth proportional to 490,785.91, 736,188.09 and 153,819.10 is: 230,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,785.91 : 736,188.09 = 153,819.10 : x
  2. Step 2: Convert to fraction form
    490,785.91/736,188.09 = 153,819.10/x
  3. Step 3: Cross multiply
    490,785.91x = 736,188.09 × 153,819.10
  4. Step 4: Simplify right side
    490,785.91x = 113,239,789,434.52
  5. Step 5: Solve for x
    x = 113,239,789,434.52/490,785.91
  6. Step 6: Final answer
    x = 230,731.54

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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.