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Finding the Fourth Proportional to 654,466.73, 980,698.16 and 440,442.80

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Solution

The fourth proportional to 654,466.73, 980,698.16 and 440,442.80 is: 659,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,466.73 : 980,698.16 = 440,442.80 : x
  2. Step 2: Convert to fraction form
    654,466.73/980,698.16 = 440,442.80/x
  3. Step 3: Cross multiply
    654,466.73x = 980,698.16 × 440,442.80
  4. Step 4: Simplify right side
    654,466.73x = 431,941,436,439.54
  5. Step 5: Solve for x
    x = 431,941,436,439.54/654,466.73
  6. Step 6: Final answer
    x = 659,989.91

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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.