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Finding the Fourth Proportional to 393,021.40, 589,021.80 and 182,210.80

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Solution

The fourth proportional to 393,021.40, 589,021.80 and 182,210.80 is: 273,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,021.40 : 589,021.80 = 182,210.80 : x
  2. Step 2: Convert to fraction form
    393,021.40/589,021.80 = 182,210.80/x
  3. Step 3: Cross multiply
    393,021.40x = 589,021.80 × 182,210.80
  4. Step 4: Simplify right side
    393,021.40x = 107,326,133,395.44
  5. Step 5: Solve for x
    x = 107,326,133,395.44/393,021.40
  6. Step 6: Final answer
    x = 273,079.62

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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.