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Finding the Fourth Proportional to 286,916, 395,944.08 and 167,684

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Solution

The fourth proportional to 286,916, 395,944.08 and 167,684 is: 231,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,916 : 395,944.08 = 167,684 : x
  2. Step 2: Convert to fraction form
    286,916/395,944.08 = 167,684/x
  3. Step 3: Cross multiply
    286,916x = 395,944.08 × 167,684
  4. Step 4: Simplify right side
    286,916x = 66,393,487,110.72
  5. Step 5: Solve for x
    x = 66,393,487,110.72/286,916
  6. Step 6: Final answer
    x = 231,403.92

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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.