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Finding the Fourth Proportional to 312,873.36, 431,733.27 and 192,019.74

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Solution

The fourth proportional to 312,873.36, 431,733.27 and 192,019.74 is: 264,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,873.36 : 431,733.27 = 192,019.74 : x
  2. Step 2: Convert to fraction form
    312,873.36/431,733.27 = 192,019.74/x
  3. Step 3: Cross multiply
    312,873.36x = 431,733.27 × 192,019.74
  4. Step 4: Simplify right side
    312,873.36x = 82,901,310,254.75
  5. Step 5: Solve for x
    x = 82,901,310,254.75/312,873.36
  6. Step 6: Final answer
    x = 264,967.62

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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.