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Finding the Fourth Proportional to 685,996.77, 946,663.26 and 380,067.01

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Solution

The fourth proportional to 685,996.77, 946,663.26 and 380,067.01 is: 524,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,996.77 : 946,663.26 = 380,067.01 : x
  2. Step 2: Convert to fraction form
    685,996.77/946,663.26 = 380,067.01/x
  3. Step 3: Cross multiply
    685,996.77x = 946,663.26 × 380,067.01
  4. Step 4: Simplify right side
    685,996.77x = 359,795,474,705.05
  5. Step 5: Solve for x
    x = 359,795,474,705.05/685,996.77
  6. Step 6: Final answer
    x = 524,485.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.