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Finding the Fourth Proportional to 317,899,813.20, 476,471,806.20 and 285,399,243.60

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Solution

The fourth proportional to 317,899,813.20, 476,471,806.20 and 285,399,243.60 is: 427,759,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,899,813.20 : 476,471,806.20 = 285,399,243.60 : x
  2. Step 2: Convert to fraction form
    317,899,813.20/476,471,806.20 = 285,399,243.60/x
  3. Step 3: Cross multiply
    317,899,813.20x = 476,471,806.20 × 285,399,243.60
  4. Step 4: Simplify right side
    317,899,813.20x = 135,984,693,086,205,792
  5. Step 5: Solve for x
    x = 135,984,693,086,205,792/317,899,813.20
  6. Step 6: Final answer
    x = 427,759,587.89

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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.