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Finding the Fourth Proportional to 312,238.68, 430,899.81 and 191,356.61

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Solution

The fourth proportional to 312,238.68, 430,899.81 and 191,356.61 is: 264,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,238.68 : 430,899.81 = 191,356.61 : x
  2. Step 2: Convert to fraction form
    312,238.68/430,899.81 = 191,356.61/x
  3. Step 3: Cross multiply
    312,238.68x = 430,899.81 × 191,356.61
  4. Step 4: Simplify right side
    312,238.68x = 82,455,526,891.24
  5. Step 5: Solve for x
    x = 82,455,526,891.24/312,238.68
  6. Step 6: Final answer
    x = 264,078.51

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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.