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Finding the Fourth Proportional to 645,415.20, 967,993.20 and 308,455.20

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Solution

The fourth proportional to 645,415.20, 967,993.20 and 308,455.20 is: 462,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,415.20 : 967,993.20 = 308,455.20 : x
  2. Step 2: Convert to fraction form
    645,415.20/967,993.20 = 308,455.20/x
  3. Step 3: Cross multiply
    645,415.20x = 967,993.20 × 308,455.20
  4. Step 4: Simplify right side
    645,415.20x = 298,582,536,104.64
  5. Step 5: Solve for x
    x = 298,582,536,104.64/645,415.20
  6. Step 6: Final answer
    x = 462,620.86

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1.5x scale

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.