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Finding the Fourth Proportional to 393,906.10, 590,932.05 and 127,675.30

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Solution

The fourth proportional to 393,906.10, 590,932.05 and 127,675.30 is: 191,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,906.10 : 590,932.05 = 127,675.30 : x
  2. Step 2: Convert to fraction form
    393,906.10/590,932.05 = 127,675.30/x
  3. Step 3: Cross multiply
    393,906.10x = 590,932.05 × 127,675.30
  4. Step 4: Simplify right side
    393,906.10x = 75,447,426,763.37
  5. Step 5: Solve for x
    x = 75,447,426,763.37/393,906.10
  6. Step 6: Final answer
    x = 191,536.58

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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.