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Finding the Fourth Proportional to 307,194.66, 423,730.76 and 203,826.65

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Solution

The fourth proportional to 307,194.66, 423,730.76 and 203,826.65 is: 281,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,194.66 : 423,730.76 = 203,826.65 : x
  2. Step 2: Convert to fraction form
    307,194.66/423,730.76 = 203,826.65/x
  3. Step 3: Cross multiply
    307,194.66x = 423,730.76 × 203,826.65
  4. Step 4: Simplify right side
    307,194.66x = 86,367,618,174.97
  5. Step 5: Solve for x
    x = 86,367,618,174.97/307,194.66
  6. Step 6: Final answer
    x = 281,149.48

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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.