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Finding the Fourth Proportional to 1,435,395,978, 1,980,847,247.40 and 775,346,262.48

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Solution

The fourth proportional to 1,435,395,978, 1,980,847,247.40 and 775,346,262.48 is: 1,069,978,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,395,978 : 1,980,847,247.40 = 775,346,262.48 : x
  2. Step 2: Convert to fraction form
    1,435,395,978/1,980,847,247.40 = 775,346,262.48/x
  3. Step 3: Cross multiply
    1,435,395,978x = 1,980,847,247.40 × 775,346,262.48
  4. Step 4: Simplify right side
    1,435,395,978x = 1,535,842,509,815,386,112
  5. Step 5: Solve for x
    x = 1,535,842,509,815,386,112/1,435,395,978
  6. Step 6: Final answer
    x = 1,069,978,273.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.