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Finding the Fourth Proportional to 411,211.80, 616,817.70 and 317,784.60

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Solution

The fourth proportional to 411,211.80, 616,817.70 and 317,784.60 is: 476,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,211.80 : 616,817.70 = 317,784.60 : x
  2. Step 2: Convert to fraction form
    411,211.80/616,817.70 = 317,784.60/x
  3. Step 3: Cross multiply
    411,211.80x = 616,817.70 × 317,784.60
  4. Step 4: Simplify right side
    411,211.80x = 196,015,166,067.42
  5. Step 5: Solve for x
    x = 196,015,166,067.42/411,211.80
  6. Step 6: Final answer
    x = 476,676.90

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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.