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Finding the Fourth Proportional to 645,348.20, 967,892.70 and 308,388.20

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Solution

The fourth proportional to 645,348.20, 967,892.70 and 308,388.20 is: 462,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,348.20 : 967,892.70 = 308,388.20 : x
  2. Step 2: Convert to fraction form
    645,348.20/967,892.70 = 308,388.20/x
  3. Step 3: Cross multiply
    645,348.20x = 967,892.70 × 308,388.20
  4. Step 4: Simplify right side
    645,348.20x = 298,486,687,546.14
  5. Step 5: Solve for x
    x = 298,486,687,546.14/645,348.20
  6. Step 6: Final answer
    x = 462,520.37

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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.