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Finding the Fourth Proportional to 393,003.40, 589,505.10 and 143,782.60

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Solution

The fourth proportional to 393,003.40, 589,505.10 and 143,782.60 is: 215,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,003.40 : 589,505.10 = 143,782.60 : x
  2. Step 2: Convert to fraction form
    393,003.40/589,505.10 = 143,782.60/x
  3. Step 3: Cross multiply
    393,003.40x = 589,505.10 × 143,782.60
  4. Step 4: Simplify right side
    393,003.40x = 84,760,575,991.26
  5. Step 5: Solve for x
    x = 84,760,575,991.26/393,003.40
  6. Step 6: Final answer
    x = 215,673.90

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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.