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Finding the Fourth Proportional to 6,857,978.40, 10,279,766.50 and 2,307,447.41

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Solution

The fourth proportional to 6,857,978.40, 10,279,766.50 and 2,307,447.41 is: 3,458,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,978.40 : 10,279,766.50 = 2,307,447.41 : x
  2. Step 2: Convert to fraction form
    6,857,978.40/10,279,766.50 = 2,307,447.41/x
  3. Step 3: Cross multiply
    6,857,978.40x = 10,279,766.50 × 2,307,447.41
  4. Step 4: Simplify right side
    6,857,978.40x = 23,720,020,528,662.31
  5. Step 5: Solve for x
    x = 23,720,020,528,662.31/6,857,978.40
  6. Step 6: Final answer
    x = 3,458,748.21

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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.