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Finding the Fourth Proportional to 3,986,647.60, 5,978,999.40 and 1,146,463.60

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Solution

The fourth proportional to 3,986,647.60, 5,978,999.40 and 1,146,463.60 is: 1,719,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,647.60 : 5,978,999.40 = 1,146,463.60 : x
  2. Step 2: Convert to fraction form
    3,986,647.60/5,978,999.40 = 1,146,463.60/x
  3. Step 3: Cross multiply
    3,986,647.60x = 5,978,999.40 × 1,146,463.60
  4. Step 4: Simplify right side
    3,986,647.60x = 6,854,705,176,521.84
  5. Step 5: Solve for x
    x = 6,854,705,176,521.84/3,986,647.60
  6. Step 6: Final answer
    x = 1,719,415.88

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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.