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Finding the Fourth Proportional to 471,749.50, 707,624.25 and 139,351.42

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Solution

The fourth proportional to 471,749.50, 707,624.25 and 139,351.42 is: 209,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,749.50 : 707,624.25 = 139,351.42 : x
  2. Step 2: Convert to fraction form
    471,749.50/707,624.25 = 139,351.42/x
  3. Step 3: Cross multiply
    471,749.50x = 707,624.25 × 139,351.42
  4. Step 4: Simplify right side
    471,749.50x = 98,608,444,063.94
  5. Step 5: Solve for x
    x = 98,608,444,063.94/471,749.50
  6. Step 6: Final answer
    x = 209,027.13

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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.