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Finding the Fourth Proportional to 301,101.20, 415,519.66 and 166,965.20

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Solution

The fourth proportional to 301,101.20, 415,519.66 and 166,965.20 is: 230,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.20 : 415,519.66 = 166,965.20 : x
  2. Step 2: Convert to fraction form
    301,101.20/415,519.66 = 166,965.20/x
  3. Step 3: Cross multiply
    301,101.20x = 415,519.66 × 166,965.20
  4. Step 4: Simplify right side
    301,101.20x = 69,377,323,135.83
  5. Step 5: Solve for x
    x = 69,377,323,135.83/301,101.20
  6. Step 6: Final answer
    x = 230,411.98

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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.