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Finding the Fourth Proportional to 645,101.80, 967,940.70 and 224,679.40

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Solution

The fourth proportional to 645,101.80, 967,940.70 and 224,679.40 is: 337,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,101.80 : 967,940.70 = 224,679.40 : x
  2. Step 2: Convert to fraction form
    645,101.80/967,940.70 = 224,679.40/x
  3. Step 3: Cross multiply
    645,101.80x = 967,940.70 × 224,679.40
  4. Step 4: Simplify right side
    645,101.80x = 217,476,335,711.58
  5. Step 5: Solve for x
    x = 217,476,335,711.58/645,101.80
  6. Step 6: Final answer
    x = 337,119.41

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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.