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Finding the Fourth Proportional to 199,064.40, 298,596.60 and 189,387.60

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Solution

The fourth proportional to 199,064.40, 298,596.60 and 189,387.60 is: 284,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,064.40 : 298,596.60 = 189,387.60 : x
  2. Step 2: Convert to fraction form
    199,064.40/298,596.60 = 189,387.60/x
  3. Step 3: Cross multiply
    199,064.40x = 298,596.60 × 189,387.60
  4. Step 4: Simplify right side
    199,064.40x = 56,550,493,442.16
  5. Step 5: Solve for x
    x = 56,550,493,442.16/199,064.40
  6. Step 6: Final answer
    x = 284,081.40

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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.