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Finding the Fourth Proportional to 471,630.40, 705,890.40 and 331,662.40

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Solution

The fourth proportional to 471,630.40, 705,890.40 and 331,662.40 is: 496,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,630.40 : 705,890.40 = 331,662.40 : x
  2. Step 2: Convert to fraction form
    471,630.40/705,890.40 = 331,662.40/x
  3. Step 3: Cross multiply
    471,630.40x = 705,890.40 × 331,662.40
  4. Step 4: Simplify right side
    471,630.40x = 234,117,304,200.96
  5. Step 5: Solve for x
    x = 234,117,304,200.96/471,630.40
  6. Step 6: Final answer
    x = 496,399.94

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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.