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Finding the Fourth Proportional to 471,481.50, 707,352.09 and 139,057.50

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Solution

The fourth proportional to 471,481.50, 707,352.09 and 139,057.50 is: 208,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,481.50 : 707,352.09 = 139,057.50 : x
  2. Step 2: Convert to fraction form
    471,481.50/707,352.09 = 139,057.50/x
  3. Step 3: Cross multiply
    471,481.50x = 707,352.09 × 139,057.50
  4. Step 4: Simplify right side
    471,481.50x = 98,362,613,255.18
  5. Step 5: Solve for x
    x = 98,362,613,255.18/471,481.50
  6. Step 6: Final answer
    x = 208,624.54

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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.