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Finding the Fourth Proportional to 442,807.70, 664,211.55 and 418,313.30

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Solution

The fourth proportional to 442,807.70, 664,211.55 and 418,313.30 is: 627,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,807.70 : 664,211.55 = 418,313.30 : x
  2. Step 2: Convert to fraction form
    442,807.70/664,211.55 = 418,313.30/x
  3. Step 3: Cross multiply
    442,807.70x = 664,211.55 × 418,313.30
  4. Step 4: Simplify right side
    442,807.70x = 277,848,525,378.62
  5. Step 5: Solve for x
    x = 277,848,525,378.62/442,807.70
  6. Step 6: Final answer
    x = 627,469.95

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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.