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Finding the Fourth Proportional to 480,940.74, 720,844.27 and 196,455.78

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Solution

The fourth proportional to 480,940.74, 720,844.27 and 196,455.78 is: 294,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,940.74 : 720,844.27 = 196,455.78 : x
  2. Step 2: Convert to fraction form
    480,940.74/720,844.27 = 196,455.78/x
  3. Step 3: Cross multiply
    480,940.74x = 720,844.27 × 196,455.78
  4. Step 4: Simplify right side
    480,940.74x = 141,614,023,321.38
  5. Step 5: Solve for x
    x = 141,614,023,321.38/480,940.74
  6. Step 6: Final answer
    x = 294,452.13

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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.