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Finding the Fourth Proportional to 307,765.36, 424,381.44 and 200,135.80

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Solution

The fourth proportional to 307,765.36, 424,381.44 and 200,135.80 is: 275,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,765.36 : 424,381.44 = 200,135.80 : x
  2. Step 2: Convert to fraction form
    307,765.36/424,381.44 = 200,135.80/x
  3. Step 3: Cross multiply
    307,765.36x = 424,381.44 × 200,135.80
  4. Step 4: Simplify right side
    307,765.36x = 84,933,918,999.55
  5. Step 5: Solve for x
    x = 84,933,918,999.55/307,765.36
  6. Step 6: Final answer
    x = 275,969.72

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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.