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Finding the Fourth Proportional to 381,045.86, 571,452.06 and 263,472.74

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Solution

The fourth proportional to 381,045.86, 571,452.06 and 263,472.74 is: 395,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,045.86 : 571,452.06 = 263,472.74 : x
  2. Step 2: Convert to fraction form
    381,045.86/571,452.06 = 263,472.74/x
  3. Step 3: Cross multiply
    381,045.86x = 571,452.06 × 263,472.74
  4. Step 4: Simplify right side
    381,045.86x = 150,562,040,026.84
  5. Step 5: Solve for x
    x = 150,562,040,026.84/381,045.86
  6. Step 6: Final answer
    x = 395,128.40

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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.