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Finding the Fourth Proportional to 511,489,509.60, 766,730,379.60 and 252,744,664.80

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Solution

The fourth proportional to 511,489,509.60, 766,730,379.60 and 252,744,664.80 is: 378,868,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,489,509.60 : 766,730,379.60 = 252,744,664.80 : x
  2. Step 2: Convert to fraction form
    511,489,509.60/766,730,379.60 = 252,744,664.80/x
  3. Step 3: Cross multiply
    511,489,509.60x = 766,730,379.60 × 252,744,664.80
  4. Step 4: Simplify right side
    511,489,509.60x = 193,787,012,783,978,784
  5. Step 5: Solve for x
    x = 193,787,012,783,978,784/511,489,509.60
  6. Step 6: Final answer
    x = 378,868,010.29

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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.