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Finding the Fourth Proportional to 218,669.76, 328,201.47 and 113,562.54

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Solution

The fourth proportional to 218,669.76, 328,201.47 and 113,562.54 is: 170,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,669.76 : 328,201.47 = 113,562.54 : x
  2. Step 2: Convert to fraction form
    218,669.76/328,201.47 = 113,562.54/x
  3. Step 3: Cross multiply
    218,669.76x = 328,201.47 × 113,562.54
  4. Step 4: Simplify right side
    218,669.76x = 37,271,392,564.93
  5. Step 5: Solve for x
    x = 37,271,392,564.93/218,669.76
  6. Step 6: Final answer
    x = 170,446.03

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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.