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Finding the Fourth Proportional to 383,056, 574,584 and 120,400

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Solution

The fourth proportional to 383,056, 574,584 and 120,400 is: 180,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,056 : 574,584 = 120,400 : x
  2. Step 2: Convert to fraction form
    383,056/574,584 = 120,400/x
  3. Step 3: Cross multiply
    383,056x = 574,584 × 120,400
  4. Step 4: Simplify right side
    383,056x = 69,179,913,600
  5. Step 5: Solve for x
    x = 69,179,913,600/383,056
  6. Step 6: Final answer
    x = 180,600

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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.