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Finding the Fourth Proportional to 1,295,216,978.96, 1,942,961,548.44 and 421,886,435.60

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Solution

The fourth proportional to 1,295,216,978.96, 1,942,961,548.44 and 421,886,435.60 is: 632,873,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,216,978.96 : 1,942,961,548.44 = 421,886,435.60 : x
  2. Step 2: Convert to fraction form
    1,295,216,978.96/1,942,961,548.44 = 421,886,435.60/x
  3. Step 3: Cross multiply
    1,295,216,978.96x = 1,942,961,548.44 × 421,886,435.60
  4. Step 4: Simplify right side
    1,295,216,978.96x = 819,709,122,179,208,448
  5. Step 5: Solve for x
    x = 819,709,122,179,208,448/1,295,216,978.96
  6. Step 6: Final answer
    x = 632,873,978.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.