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Finding the Fourth Proportional to 301,270.98, 415,753.74 and 165,305.73

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Solution

The fourth proportional to 301,270.98, 415,753.74 and 165,305.73 is: 228,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,270.98 : 415,753.74 = 165,305.73 : x
  2. Step 2: Convert to fraction form
    301,270.98/415,753.74 = 165,305.73/x
  3. Step 3: Cross multiply
    301,270.98x = 415,753.74 × 165,305.73
  4. Step 4: Simplify right side
    301,270.98x = 68,726,475,490.93
  5. Step 5: Solve for x
    x = 68,726,475,490.93/301,270.98
  6. Step 6: Final answer
    x = 228,121.79

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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.