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Finding the Fourth Proportional to 301,007.38, 415,408.85 and 166,871.38

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Solution

The fourth proportional to 301,007.38, 415,408.85 and 166,871.38 is: 230,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,007.38 : 415,408.85 = 166,871.38 : x
  2. Step 2: Convert to fraction form
    301,007.38/415,408.85 = 166,871.38/x
  3. Step 3: Cross multiply
    301,007.38x = 415,408.85 × 166,871.38
  4. Step 4: Simplify right side
    301,007.38x = 69,319,847,126.17
  5. Step 5: Solve for x
    x = 69,319,847,126.17/301,007.38
  6. Step 6: Final answer
    x = 230,292.85

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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.