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Finding the Fourth Proportional to 286,914, 395,941.32 and 167,682

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Solution

The fourth proportional to 286,914, 395,941.32 and 167,682 is: 231,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,914 : 395,941.32 = 167,682 : x
  2. Step 2: Convert to fraction form
    286,914/395,941.32 = 167,682/x
  3. Step 3: Cross multiply
    286,914x = 395,941.32 × 167,682
  4. Step 4: Simplify right side
    286,914x = 66,392,232,420.24
  5. Step 5: Solve for x
    x = 66,392,232,420.24/286,914
  6. Step 6: Final answer
    x = 231,401.16

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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.