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Finding the Fourth Proportional to 645,286.20, 967,057.40 and 245,709

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Solution

The fourth proportional to 645,286.20, 967,057.40 and 245,709 is: 368,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,286.20 : 967,057.40 = 245,709 : x
  2. Step 2: Convert to fraction form
    645,286.20/967,057.40 = 245,709/x
  3. Step 3: Cross multiply
    645,286.20x = 967,057.40 × 245,709
  4. Step 4: Simplify right side
    645,286.20x = 237,614,706,696.60
  5. Step 5: Solve for x
    x = 237,614,706,696.60/645,286.20
  6. Step 6: Final answer
    x = 368,231.50

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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.