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Finding the Fourth Proportional to 298,705.67, 447,711.81 and 120,991.67

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Solution

The fourth proportional to 298,705.67, 447,711.81 and 120,991.67 is: 181,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,705.67 : 447,711.81 = 120,991.67 : x
  2. Step 2: Convert to fraction form
    298,705.67/447,711.81 = 120,991.67/x
  3. Step 3: Cross multiply
    298,705.67x = 447,711.81 × 120,991.67
  4. Step 4: Simplify right side
    298,705.67x = 54,169,397,332.06
  5. Step 5: Solve for x
    x = 54,169,397,332.06/298,705.67
  6. Step 6: Final answer
    x = 181,347.07

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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.