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Finding the Fourth Proportional to 471,004.40, 705,469.80 and 329,999.60

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Solution

The fourth proportional to 471,004.40, 705,469.80 and 329,999.60 is: 494,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,004.40 : 705,469.80 = 329,999.60 : x
  2. Step 2: Convert to fraction form
    471,004.40/705,469.80 = 329,999.60/x
  3. Step 3: Cross multiply
    471,004.40x = 705,469.80 × 329,999.60
  4. Step 4: Simplify right side
    471,004.40x = 232,804,751,812.08
  5. Step 5: Solve for x
    x = 232,804,751,812.08/471,004.40
  6. Step 6: Final answer
    x = 494,272.99

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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.