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Finding the Fourth Proportional to 309,621.70, 464,864.55 and 197,992.90

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Solution

The fourth proportional to 309,621.70, 464,864.55 and 197,992.90 is: 297,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,621.70 : 464,864.55 = 197,992.90 : x
  2. Step 2: Convert to fraction form
    309,621.70/464,864.55 = 197,992.90/x
  3. Step 3: Cross multiply
    309,621.70x = 464,864.55 × 197,992.90
  4. Step 4: Simplify right side
    309,621.70x = 92,039,880,361.70
  5. Step 5: Solve for x
    x = 92,039,880,361.70/309,621.70
  6. Step 6: Final answer
    x = 297,265.60

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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.