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Finding the Fourth Proportional to 326,704.31, 490,117.64 and 146,785.29

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Solution

The fourth proportional to 326,704.31, 490,117.64 and 146,785.29 is: 220,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,704.31 : 490,117.64 = 146,785.29 : x
  2. Step 2: Convert to fraction form
    326,704.31/490,117.64 = 146,785.29/x
  3. Step 3: Cross multiply
    326,704.31x = 490,117.64 × 146,785.29
  4. Step 4: Simplify right side
    326,704.31x = 71,942,058,728.10
  5. Step 5: Solve for x
    x = 71,942,058,728.10/326,704.31
  6. Step 6: Final answer
    x = 220,205.42

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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.