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Finding the Fourth Proportional to 393,342.30, 589,968.09 and 109,053.90

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Solution

The fourth proportional to 393,342.30, 589,968.09 and 109,053.90 is: 163,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,342.30 : 589,968.09 = 109,053.90 : x
  2. Step 2: Convert to fraction form
    393,342.30/589,968.09 = 109,053.90/x
  3. Step 3: Cross multiply
    393,342.30x = 589,968.09 × 109,053.90
  4. Step 4: Simplify right side
    393,342.30x = 64,338,321,090.05
  5. Step 5: Solve for x
    x = 64,338,321,090.05/393,342.30
  6. Step 6: Final answer
    x = 163,568.27

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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.