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Finding the Fourth Proportional to 326,201.70, 490,286.70 and 282,899.10

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Solution

The fourth proportional to 326,201.70, 490,286.70 and 282,899.10 is: 425,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,201.70 : 490,286.70 = 282,899.10 : x
  2. Step 2: Convert to fraction form
    326,201.70/490,286.70 = 282,899.10/x
  3. Step 3: Cross multiply
    326,201.70x = 490,286.70 × 282,899.10
  4. Step 4: Simplify right side
    326,201.70x = 138,701,666,171.97
  5. Step 5: Solve for x
    x = 138,701,666,171.97/326,201.70
  6. Step 6: Final answer
    x = 425,202.16

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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.