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Finding the Fourth Proportional to 295,229.15, 443,609.17 and 257,889.77

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Solution

The fourth proportional to 295,229.15, 443,609.17 and 257,889.77 is: 387,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,229.15 : 443,609.17 = 257,889.77 : x
  2. Step 2: Convert to fraction form
    295,229.15/443,609.17 = 257,889.77/x
  3. Step 3: Cross multiply
    295,229.15x = 443,609.17 × 257,889.77
  4. Step 4: Simplify right side
    295,229.15x = 114,402,263,958.42
  5. Step 5: Solve for x
    x = 114,402,263,958.42/295,229.15
  6. Step 6: Final answer
    x = 387,503.29

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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.