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Finding the Fourth Proportional to 298,011.51, 446,969.25 and 81,819.81

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Solution

The fourth proportional to 298,011.51, 446,969.25 and 81,819.81 is: 122,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,011.51 : 446,969.25 = 81,819.81 : x
  2. Step 2: Convert to fraction form
    298,011.51/446,969.25 = 81,819.81/x
  3. Step 3: Cross multiply
    298,011.51x = 446,969.25 × 81,819.81
  4. Step 4: Simplify right side
    298,011.51x = 36,570,939,110.84
  5. Step 5: Solve for x
    x = 36,570,939,110.84/298,011.51
  6. Step 6: Final answer
    x = 122,716.53

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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.