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Finding the Fourth Proportional to 865,152, 1,297,728 and 274,176

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Solution

The fourth proportional to 865,152, 1,297,728 and 274,176 is: 411,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,152 : 1,297,728 = 274,176 : x
  2. Step 2: Convert to fraction form
    865,152/1,297,728 = 274,176/x
  3. Step 3: Cross multiply
    865,152x = 1,297,728 × 274,176
  4. Step 4: Simplify right side
    865,152x = 355,805,872,128
  5. Step 5: Solve for x
    x = 355,805,872,128/865,152
  6. Step 6: Final answer
    x = 411,264

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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.