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Finding the Fourth Proportional to 1,297,728, 1,946,592 and 411,264

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Solution

The fourth proportional to 1,297,728, 1,946,592 and 411,264 is: 616,896

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,728 : 1,946,592 = 411,264 : x
  2. Step 2: Convert to fraction form
    1,297,728/1,946,592 = 411,264/x
  3. Step 3: Cross multiply
    1,297,728x = 1,946,592 × 411,264
  4. Step 4: Simplify right side
    1,297,728x = 800,563,212,288
  5. Step 5: Solve for x
    x = 800,563,212,288/1,297,728
  6. Step 6: Final answer
    x = 616,896

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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.