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Finding the Fourth Proportional to 312,249.15, 430,788.56 and 204,878.79

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Solution

The fourth proportional to 312,249.15, 430,788.56 and 204,878.79 is: 282,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,249.15 : 430,788.56 = 204,878.79 : x
  2. Step 2: Convert to fraction form
    312,249.15/430,788.56 = 204,878.79/x
  3. Step 3: Cross multiply
    312,249.15x = 430,788.56 × 204,878.79
  4. Step 4: Simplify right side
    312,249.15x = 88,259,437,894.25
  5. Step 5: Solve for x
    x = 88,259,437,894.25/312,249.15
  6. Step 6: Final answer
    x = 282,657.10

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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.