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Finding the Fourth Proportional to 393,813.56, 590,720.34 and 217,442

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Solution

The fourth proportional to 393,813.56, 590,720.34 and 217,442 is: 326,163

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,813.56 : 590,720.34 = 217,442 : x
  2. Step 2: Convert to fraction form
    393,813.56/590,720.34 = 217,442/x
  3. Step 3: Cross multiply
    393,813.56x = 590,720.34 × 217,442
  4. Step 4: Simplify right side
    393,813.56x = 128,447,412,170.28
  5. Step 5: Solve for x
    x = 128,447,412,170.28/393,813.56
  6. Step 6: Final answer
    x = 326,163

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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.