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Finding the Fourth Proportional to 431,204.60, 646,806.90 and 194,660.60

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Solution

The fourth proportional to 431,204.60, 646,806.90 and 194,660.60 is: 291,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,204.60 : 646,806.90 = 194,660.60 : x
  2. Step 2: Convert to fraction form
    431,204.60/646,806.90 = 194,660.60/x
  3. Step 3: Cross multiply
    431,204.60x = 646,806.90 × 194,660.60
  4. Step 4: Simplify right side
    431,204.60x = 125,907,819,238.14
  5. Step 5: Solve for x
    x = 125,907,819,238.14/431,204.60
  6. Step 6: Final answer
    x = 291,990.90

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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.