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Finding the Fourth Proportional to 206,711,999.80, 310,067,999.70 and 177,990,566.20

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Solution

The fourth proportional to 206,711,999.80, 310,067,999.70 and 177,990,566.20 is: 266,985,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711,999.80 : 310,067,999.70 = 177,990,566.20 : x
  2. Step 2: Convert to fraction form
    206,711,999.80/310,067,999.70 = 177,990,566.20/x
  3. Step 3: Cross multiply
    206,711,999.80x = 310,067,999.70 × 177,990,566.20
  4. Step 4: Simplify right side
    206,711,999.80x = 55,189,178,827,104,424
  5. Step 5: Solve for x
    x = 55,189,178,827,104,424/206,711,999.80
  6. Step 6: Final answer
    x = 266,985,849.30

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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.