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Finding the Fourth Proportional to 673,993.80, 1,010,709.64 and 274,363.30

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Solution

The fourth proportional to 673,993.80, 1,010,709.64 and 274,363.30 is: 411,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,993.80 : 1,010,709.64 = 274,363.30 : x
  2. Step 2: Convert to fraction form
    673,993.80/1,010,709.64 = 274,363.30/x
  3. Step 3: Cross multiply
    673,993.80x = 1,010,709.64 × 274,363.30
  4. Step 4: Simplify right side
    673,993.80x = 277,301,632,172.21
  5. Step 5: Solve for x
    x = 277,301,632,172.21/673,993.80
  6. Step 6: Final answer
    x = 411,430.54

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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.