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Finding the Fourth Proportional to 419,775.40, 629,477.34 and 120,187.72

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Solution

The fourth proportional to 419,775.40, 629,477.34 and 120,187.72 is: 180,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,775.40 : 629,477.34 = 120,187.72 : x
  2. Step 2: Convert to fraction form
    419,775.40/629,477.34 = 120,187.72/x
  3. Step 3: Cross multiply
    419,775.40x = 629,477.34 × 120,187.72
  4. Step 4: Simplify right side
    419,775.40x = 75,655,446,286.26
  5. Step 5: Solve for x
    x = 75,655,446,286.26/419,775.40
  6. Step 6: Final answer
    x = 180,228.39

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1.5x scale

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.