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Finding the Fourth Proportional to 413,069.70, 619,604.55 and 397,323.30

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Solution

The fourth proportional to 413,069.70, 619,604.55 and 397,323.30 is: 595,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,069.70 : 619,604.55 = 397,323.30 : x
  2. Step 2: Convert to fraction form
    413,069.70/619,604.55 = 397,323.30/x
  3. Step 3: Cross multiply
    413,069.70x = 619,604.55 × 397,323.30
  4. Step 4: Simplify right side
    413,069.70x = 246,183,324,501.02
  5. Step 5: Solve for x
    x = 246,183,324,501.02/413,069.70
  6. Step 6: Final answer
    x = 595,984.95

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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.