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Finding the Fourth Proportional to 3,238,974.80, 4,861,399.80 and 1,642,648.40

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Solution

The fourth proportional to 3,238,974.80, 4,861,399.80 and 1,642,648.40 is: 2,465,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,974.80 : 4,861,399.80 = 1,642,648.40 : x
  2. Step 2: Convert to fraction form
    3,238,974.80/4,861,399.80 = 1,642,648.40/x
  3. Step 3: Cross multiply
    3,238,974.80x = 4,861,399.80 × 1,642,648.40
  4. Step 4: Simplify right side
    3,238,974.80x = 7,985,570,603,230.32
  5. Step 5: Solve for x
    x = 7,985,570,603,230.32/3,238,974.80
  6. Step 6: Final answer
    x = 2,465,462.41

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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.