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Finding the Fourth Proportional to 412,847.70, 619,271.55 and 397,101.30

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Solution

The fourth proportional to 412,847.70, 619,271.55 and 397,101.30 is: 595,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,847.70 : 619,271.55 = 397,101.30 : x
  2. Step 2: Convert to fraction form
    412,847.70/619,271.55 = 397,101.30/x
  3. Step 3: Cross multiply
    412,847.70x = 619,271.55 × 397,101.30
  4. Step 4: Simplify right side
    412,847.70x = 245,913,537,558.02
  5. Step 5: Solve for x
    x = 245,913,537,558.02/412,847.70
  6. Step 6: Final answer
    x = 595,651.95

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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.