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Finding the Fourth Proportional to 3,863,647.40, 5,420,303.80 and 3,863,647.40

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Solution

The fourth proportional to 3,863,647.40, 5,420,303.80 and 3,863,647.40 is: 5,420,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,647.40 : 5,420,303.80 = 3,863,647.40 : x
  2. Step 2: Convert to fraction form
    3,863,647.40/5,420,303.80 = 3,863,647.40/x
  3. Step 3: Cross multiply
    3,863,647.40x = 5,420,303.80 × 3,863,647.40
  4. Step 4: Simplify right side
    3,863,647.40x = 20,942,142,684,080.12
  5. Step 5: Solve for x
    x = 20,942,142,684,080.12/3,863,647.40
  6. Step 6: Final answer
    x = 5,420,303.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.