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Finding the Fourth Proportional to 213,055,806.80, 319,583,710.20 and 206,678,514.80

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Solution

The fourth proportional to 213,055,806.80, 319,583,710.20 and 206,678,514.80 is: 310,017,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,055,806.80 : 319,583,710.20 = 206,678,514.80 : x
  2. Step 2: Convert to fraction form
    213,055,806.80/319,583,710.20 = 206,678,514.80/x
  3. Step 3: Cross multiply
    213,055,806.80x = 319,583,710.20 × 206,678,514.80
  4. Step 4: Simplify right side
    213,055,806.80x = 66,051,086,578,409,616
  5. Step 5: Solve for x
    x = 66,051,086,578,409,616/213,055,806.80
  6. Step 6: Final answer
    x = 310,017,772.20

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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.