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Finding the Fourth Proportional to 312,844.50, 432,081.81 and 212,067.54

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Solution

The fourth proportional to 312,844.50, 432,081.81 and 212,067.54 is: 292,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844.50 : 432,081.81 = 212,067.54 : x
  2. Step 2: Convert to fraction form
    312,844.50/432,081.81 = 212,067.54/x
  3. Step 3: Cross multiply
    312,844.50x = 432,081.81 × 212,067.54
  4. Step 4: Simplify right side
    312,844.50x = 91,630,526,525.45
  5. Step 5: Solve for x
    x = 91,630,526,525.45/312,844.50
  6. Step 6: Final answer
    x = 292,894.80

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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.