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Finding the Fourth Proportional to 312,318, 430,998.84 and 178,179.12

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Solution

The fourth proportional to 312,318, 430,998.84 and 178,179.12 is: 245,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,318 : 430,998.84 = 178,179.12 : x
  2. Step 2: Convert to fraction form
    312,318/430,998.84 = 178,179.12/x
  3. Step 3: Cross multiply
    312,318x = 430,998.84 × 178,179.12
  4. Step 4: Simplify right side
    312,318x = 76,794,994,032.22
  5. Step 5: Solve for x
    x = 76,794,994,032.22/312,318
  6. Step 6: Final answer
    x = 245,887.19

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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.