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Finding the Fourth Proportional to 199,523.60, 298,421.40 and 178,614.80

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Solution

The fourth proportional to 199,523.60, 298,421.40 and 178,614.80 is: 267,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,523.60 : 298,421.40 = 178,614.80 : x
  2. Step 2: Convert to fraction form
    199,523.60/298,421.40 = 178,614.80/x
  3. Step 3: Cross multiply
    199,523.60x = 298,421.40 × 178,614.80
  4. Step 4: Simplify right side
    199,523.60x = 53,302,478,676.72
  5. Step 5: Solve for x
    x = 53,302,478,676.72/199,523.60
  6. Step 6: Final answer
    x = 267,148.74

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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.