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Finding the Fourth Proportional to 920,048, 1,380,072 and 255,200

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Solution

The fourth proportional to 920,048, 1,380,072 and 255,200 is: 382,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,048 : 1,380,072 = 255,200 : x
  2. Step 2: Convert to fraction form
    920,048/1,380,072 = 255,200/x
  3. Step 3: Cross multiply
    920,048x = 1,380,072 × 255,200
  4. Step 4: Simplify right side
    920,048x = 352,194,374,400
  5. Step 5: Solve for x
    x = 352,194,374,400/920,048
  6. Step 6: Final answer
    x = 382,800

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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.