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Finding the Fourth Proportional to 312,886.56, 431,661.30 and 204,118.77

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Solution

The fourth proportional to 312,886.56, 431,661.30 and 204,118.77 is: 281,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,886.56 : 431,661.30 = 204,118.77 : x
  2. Step 2: Convert to fraction form
    312,886.56/431,661.30 = 204,118.77/x
  3. Step 3: Cross multiply
    312,886.56x = 431,661.30 × 204,118.77
  4. Step 4: Simplify right side
    312,886.56x = 88,110,173,612.60
  5. Step 5: Solve for x
    x = 88,110,173,612.60/312,886.56
  6. Step 6: Final answer
    x = 281,604.21

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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.