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Finding the Fourth Proportional to 319,410.40, 478,942.80 and 132,440.80

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Solution

The fourth proportional to 319,410.40, 478,942.80 and 132,440.80 is: 198,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,410.40 : 478,942.80 = 132,440.80 : x
  2. Step 2: Convert to fraction form
    319,410.40/478,942.80 = 132,440.80/x
  3. Step 3: Cross multiply
    319,410.40x = 478,942.80 × 132,440.80
  4. Step 4: Simplify right side
    319,410.40x = 63,431,567,586.24
  5. Step 5: Solve for x
    x = 63,431,567,586.24/319,410.40
  6. Step 6: Final answer
    x = 198,589.55

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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.