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Finding the Fourth Proportional to 1,297,782, 1,946,673 and 411,318

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Solution

The fourth proportional to 1,297,782, 1,946,673 and 411,318 is: 616,977

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,782 : 1,946,673 = 411,318 : x
  2. Step 2: Convert to fraction form
    1,297,782/1,946,673 = 411,318/x
  3. Step 3: Cross multiply
    1,297,782x = 1,946,673 × 411,318
  4. Step 4: Simplify right side
    1,297,782x = 800,701,645,014
  5. Step 5: Solve for x
    x = 800,701,645,014/1,297,782
  6. Step 6: Final answer
    x = 616,977

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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.