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Finding the Fourth Proportional to 664,013,209.20, 996,019,813.80 and 388,514,194.80

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Solution

The fourth proportional to 664,013,209.20, 996,019,813.80 and 388,514,194.80 is: 582,771,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,013,209.20 : 996,019,813.80 = 388,514,194.80 : x
  2. Step 2: Convert to fraction form
    664,013,209.20/996,019,813.80 = 388,514,194.80/x
  3. Step 3: Cross multiply
    664,013,209.20x = 996,019,813.80 × 388,514,194.80
  4. Step 4: Simplify right side
    664,013,209.20x = 386,967,835,963,352,896
  5. Step 5: Solve for x
    x = 386,967,835,963,352,896/664,013,209.20
  6. Step 6: Final answer
    x = 582,771,292.20

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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.