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Finding the Fourth Proportional to 312,067.85, 430,664.67 and 176,093.87

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Solution

The fourth proportional to 312,067.85, 430,664.67 and 176,093.87 is: 243,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,067.85 : 430,664.67 = 176,093.87 : x
  2. Step 2: Convert to fraction form
    312,067.85/430,664.67 = 176,093.87/x
  3. Step 3: Cross multiply
    312,067.85x = 430,664.67 × 176,093.87
  4. Step 4: Simplify right side
    312,067.85x = 75,837,406,259.25
  5. Step 5: Solve for x
    x = 75,837,406,259.25/312,067.85
  6. Step 6: Final answer
    x = 243,015.77

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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.