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Finding the Fourth Proportional to 312,730.65, 431,614.69 and 198,019.98

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Solution

The fourth proportional to 312,730.65, 431,614.69 and 198,019.98 is: 273,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,730.65 : 431,614.69 = 198,019.98 : x
  2. Step 2: Convert to fraction form
    312,730.65/431,614.69 = 198,019.98/x
  3. Step 3: Cross multiply
    312,730.65x = 431,614.69 × 198,019.98
  4. Step 4: Simplify right side
    312,730.65x = 85,468,331,786.46
  5. Step 5: Solve for x
    x = 85,468,331,786.46/312,730.65
  6. Step 6: Final answer
    x = 273,296.95

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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.