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Finding the Fourth Proportional to 298,510.22, 447,764.32 and 121,016.81

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Solution

The fourth proportional to 298,510.22, 447,764.32 and 121,016.81 is: 181,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,510.22 : 447,764.32 = 121,016.81 : x
  2. Step 2: Convert to fraction form
    298,510.22/447,764.32 = 121,016.81/x
  3. Step 3: Cross multiply
    298,510.22x = 447,764.32 × 121,016.81
  4. Step 4: Simplify right side
    298,510.22x = 54,187,010,908.90
  5. Step 5: Solve for x
    x = 54,187,010,908.90/298,510.22
  6. Step 6: Final answer
    x = 181,524.81

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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.