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Finding the Fourth Proportional to 6,978,693.60, 10,468,040.40 and 6,474,808.80

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Solution

The fourth proportional to 6,978,693.60, 10,468,040.40 and 6,474,808.80 is: 9,712,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,693.60 : 10,468,040.40 = 6,474,808.80 : x
  2. Step 2: Convert to fraction form
    6,978,693.60/10,468,040.40 = 6,474,808.80/x
  3. Step 3: Cross multiply
    6,978,693.60x = 10,468,040.40 × 6,474,808.80
  4. Step 4: Simplify right side
    6,978,693.60x = 67,778,560,100,675.52
  5. Step 5: Solve for x
    x = 67,778,560,100,675.52/6,978,693.60
  6. Step 6: Final answer
    x = 9,712,213.20

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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.