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Finding the Fourth Proportional to 301,029.80, 415,439.76 and 166,893.80

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Solution

The fourth proportional to 301,029.80, 415,439.76 and 166,893.80 is: 230,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,029.80 : 415,439.76 = 166,893.80 : x
  2. Step 2: Convert to fraction form
    301,029.80/415,439.76 = 166,893.80/x
  3. Step 3: Cross multiply
    301,029.80x = 415,439.76 × 166,893.80
  4. Step 4: Simplify right side
    301,029.80x = 69,334,320,217.49
  5. Step 5: Solve for x
    x = 69,334,320,217.49/301,029.80
  6. Step 6: Final answer
    x = 230,323.78

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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.