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Finding the Fourth Proportional to 1,297,784, 1,946,676 and 411,320

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Solution

The fourth proportional to 1,297,784, 1,946,676 and 411,320 is: 616,980

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,784 : 1,946,676 = 411,320 : x
  2. Step 2: Convert to fraction form
    1,297,784/1,946,676 = 411,320/x
  3. Step 3: Cross multiply
    1,297,784x = 1,946,676 × 411,320
  4. Step 4: Simplify right side
    1,297,784x = 800,706,772,320
  5. Step 5: Solve for x
    x = 800,706,772,320/1,297,784
  6. Step 6: Final answer
    x = 616,980

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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.