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Finding the Fourth Proportional to 393,629.70, 590,502.15 and 206,655.30

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Solution

The fourth proportional to 393,629.70, 590,502.15 and 206,655.30 is: 310,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,629.70 : 590,502.15 = 206,655.30 : x
  2. Step 2: Convert to fraction form
    393,629.70/590,502.15 = 206,655.30/x
  3. Step 3: Cross multiply
    393,629.70x = 590,502.15 × 206,655.30
  4. Step 4: Simplify right side
    393,629.70x = 122,030,398,958.90
  5. Step 5: Solve for x
    x = 122,030,398,958.90/393,629.70
  6. Step 6: Final answer
    x = 310,013.19

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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.