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Finding the Fourth Proportional to 301,420.23, 415,964.22 and 165,451.70

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Solution

The fourth proportional to 301,420.23, 415,964.22 and 165,451.70 is: 228,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,420.23 : 415,964.22 = 165,451.70 : x
  2. Step 2: Convert to fraction form
    301,420.23/415,964.22 = 165,451.70/x
  3. Step 3: Cross multiply
    301,420.23x = 415,964.22 × 165,451.70
  4. Step 4: Simplify right side
    301,420.23x = 68,821,987,338.17
  5. Step 5: Solve for x
    x = 68,821,987,338.17/301,420.23
  6. Step 6: Final answer
    x = 228,325.71

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1.5x scale

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.