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Finding the Fourth Proportional to 298,513.22, 447,768.81 and 121,019.81

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Solution

The fourth proportional to 298,513.22, 447,768.81 and 121,019.81 is: 181,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.22 : 447,768.81 = 121,019.81 : x
  2. Step 2: Convert to fraction form
    298,513.22/447,768.81 = 121,019.81/x
  3. Step 3: Cross multiply
    298,513.22x = 447,768.81 × 121,019.81
  4. Step 4: Simplify right side
    298,513.22x = 54,188,897,429.55
  5. Step 5: Solve for x
    x = 54,188,897,429.55/298,513.22
  6. Step 6: Final answer
    x = 181,529.30

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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.