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Finding the Fourth Proportional to 393,157.40, 588,735.55 and 259,837.88

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Solution

The fourth proportional to 393,157.40, 588,735.55 and 259,837.88 is: 389,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,157.40 : 588,735.55 = 259,837.88 : x
  2. Step 2: Convert to fraction form
    393,157.40/588,735.55 = 259,837.88/x
  3. Step 3: Cross multiply
    393,157.40x = 588,735.55 × 259,837.88
  4. Step 4: Simplify right side
    393,157.40x = 152,975,797,192.63
  5. Step 5: Solve for x
    x = 152,975,797,192.63/393,157.40
  6. Step 6: Final answer
    x = 389,095.56

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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.