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Finding the Fourth Proportional to 631,692.48, 871,709.76 and 345,222.24

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Solution

The fourth proportional to 631,692.48, 871,709.76 and 345,222.24 is: 476,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,692.48 : 871,709.76 = 345,222.24 : x
  2. Step 2: Convert to fraction form
    631,692.48/871,709.76 = 345,222.24/x
  3. Step 3: Cross multiply
    631,692.48x = 871,709.76 × 345,222.24
  4. Step 4: Simplify right side
    631,692.48x = 300,933,595,977.06
  5. Step 5: Solve for x
    x = 300,933,595,977.06/631,692.48
  6. Step 6: Final answer
    x = 476,392.56

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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.