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Finding the Fourth Proportional to 199,544.40, 298,927.80 and 120,423.60

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Solution

The fourth proportional to 199,544.40, 298,927.80 and 120,423.60 is: 180,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,544.40 : 298,927.80 = 120,423.60 : x
  2. Step 2: Convert to fraction form
    199,544.40/298,927.80 = 120,423.60/x
  3. Step 3: Cross multiply
    199,544.40x = 298,927.80 × 120,423.60
  4. Step 4: Simplify right side
    199,544.40x = 35,997,961,816.08
  5. Step 5: Solve for x
    x = 35,997,961,816.08/199,544.40
  6. Step 6: Final answer
    x = 180,400.76

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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.