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Finding the Fourth Proportional to 1,297,738, 1,946,607 and 411,274

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Solution

The fourth proportional to 1,297,738, 1,946,607 and 411,274 is: 616,911

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,738 : 1,946,607 = 411,274 : x
  2. Step 2: Convert to fraction form
    1,297,738/1,946,607 = 411,274/x
  3. Step 3: Cross multiply
    1,297,738x = 1,946,607 × 411,274
  4. Step 4: Simplify right side
    1,297,738x = 800,588,847,318
  5. Step 5: Solve for x
    x = 800,588,847,318/1,297,738
  6. Step 6: Final answer
    x = 616,911

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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.