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Finding the Fourth Proportional to 295,765.72, 443,561.10 and 85,405.48

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Solution

The fourth proportional to 295,765.72, 443,561.10 and 85,405.48 is: 128,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,765.72 : 443,561.10 = 85,405.48 : x
  2. Step 2: Convert to fraction form
    295,765.72/443,561.10 = 85,405.48/x
  3. Step 3: Cross multiply
    295,765.72x = 443,561.10 × 85,405.48
  4. Step 4: Simplify right side
    295,765.72x = 37,882,548,654.83
  5. Step 5: Solve for x
    x = 37,882,548,654.83/295,765.72
  6. Step 6: Final answer
    x = 128,082.96

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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.