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Finding the Fourth Proportional to 309,974.46, 464,253.79 and 147,982.46

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Solution

The fourth proportional to 309,974.46, 464,253.79 and 147,982.46 is: 221,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,974.46 : 464,253.79 = 147,982.46 : x
  2. Step 2: Convert to fraction form
    309,974.46/464,253.79 = 147,982.46/x
  3. Step 3: Cross multiply
    309,974.46x = 464,253.79 × 147,982.46
  4. Step 4: Simplify right side
    309,974.46x = 68,701,417,908.52
  5. Step 5: Solve for x
    x = 68,701,417,908.52/309,974.46
  6. Step 6: Final answer
    x = 221,635.74

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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.