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Finding the Fourth Proportional to 281,178.24, 421,473.60 and 123,273.60

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Solution

The fourth proportional to 281,178.24, 421,473.60 and 123,273.60 is: 184,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,178.24 : 421,473.60 = 123,273.60 : x
  2. Step 2: Convert to fraction form
    281,178.24/421,473.60 = 123,273.60/x
  3. Step 3: Cross multiply
    281,178.24x = 421,473.60 × 123,273.60
  4. Step 4: Simplify right side
    281,178.24x = 51,956,567,976.96
  5. Step 5: Solve for x
    x = 51,956,567,976.96/281,178.24
  6. Step 6: Final answer
    x = 184,781.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.