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Finding the Fourth Proportional to 393,020.40, 589,020.30 and 182,209.80

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Solution

The fourth proportional to 393,020.40, 589,020.30 and 182,209.80 is: 273,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,020.40 : 589,020.30 = 182,209.80 : x
  2. Step 2: Convert to fraction form
    393,020.40/589,020.30 = 182,209.80/x
  3. Step 3: Cross multiply
    393,020.40x = 589,020.30 × 182,209.80
  4. Step 4: Simplify right side
    393,020.40x = 107,325,271,058.94
  5. Step 5: Solve for x
    x = 107,325,271,058.94/393,020.40
  6. Step 6: Final answer
    x = 273,078.12

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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.