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Finding the Fourth Proportional to 383,811.96, 575,433.57 and 183,942

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Solution

The fourth proportional to 383,811.96, 575,433.57 and 183,942 is: 275,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,811.96 : 575,433.57 = 183,942 : x
  2. Step 2: Convert to fraction form
    383,811.96/575,433.57 = 183,942/x
  3. Step 3: Cross multiply
    383,811.96x = 575,433.57 × 183,942
  4. Step 4: Simplify right side
    383,811.96x = 105,846,401,732.94
  5. Step 5: Solve for x
    x = 105,846,401,732.94/383,811.96
  6. Step 6: Final answer
    x = 275,776.72

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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.