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Finding the Fourth Proportional to 6,237,978.40, 9,356,092.80 and 1,978,577.20

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Solution

The fourth proportional to 6,237,978.40, 9,356,092.80 and 1,978,577.20 is: 2,967,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237,978.40 : 9,356,092.80 = 1,978,577.20 : x
  2. Step 2: Convert to fraction form
    6,237,978.40/9,356,092.80 = 1,978,577.20/x
  3. Step 3: Cross multiply
    6,237,978.40x = 9,356,092.80 × 1,978,577.20
  4. Step 4: Simplify right side
    6,237,978.40x = 18,511,751,895,164.16
  5. Step 5: Solve for x
    x = 18,511,751,895,164.16/6,237,978.40
  6. Step 6: Final answer
    x = 2,967,588.33

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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.