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Finding the Fourth Proportional to 1,281,038,902.20, 1,917,731,978.10 and 763,202,791.80

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Solution

The fourth proportional to 1,281,038,902.20, 1,917,731,978.10 and 763,202,791.80 is: 1,142,524,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,038,902.20 : 1,917,731,978.10 = 763,202,791.80 : x
  2. Step 2: Convert to fraction form
    1,281,038,902.20/1,917,731,978.10 = 763,202,791.80/x
  3. Step 3: Cross multiply
    1,281,038,902.20x = 1,917,731,978.10 × 763,202,791.80
  4. Step 4: Simplify right side
    1,281,038,902.20x = 1,463,618,399,610,056,192
  5. Step 5: Solve for x
    x = 1,463,618,399,610,056,192/1,281,038,902.20
  6. Step 6: Final answer
    x = 1,142,524,553.39

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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.