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Finding the Fourth Proportional to 255,371, 383,056.50 and 80,267

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Solution

The fourth proportional to 255,371, 383,056.50 and 80,267 is: 120,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,371 : 383,056.50 = 80,267 : x
  2. Step 2: Convert to fraction form
    255,371/383,056.50 = 80,267/x
  3. Step 3: Cross multiply
    255,371x = 383,056.50 × 80,267
  4. Step 4: Simplify right side
    255,371x = 30,746,796,085.50
  5. Step 5: Solve for x
    x = 30,746,796,085.50/255,371
  6. Step 6: Final answer
    x = 120,400.50

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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.