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Finding the Fourth Proportional to 383,586.89, 574,556.06 and 311,214.93

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Solution

The fourth proportional to 383,586.89, 574,556.06 and 311,214.93 is: 466,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,586.89 : 574,556.06 = 311,214.93 : x
  2. Step 2: Convert to fraction form
    383,586.89/574,556.06 = 311,214.93/x
  3. Step 3: Cross multiply
    383,586.89x = 574,556.06 × 311,214.93
  4. Step 4: Simplify right side
    383,586.89x = 178,810,422,437.90
  5. Step 5: Solve for x
    x = 178,810,422,437.90/383,586.89
  6. Step 6: Final answer
    x = 466,153.64

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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.