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Finding the Fourth Proportional to 6,269,648.57, 8,648,440.50 and 3,942,850.40

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Solution

The fourth proportional to 6,269,648.57, 8,648,440.50 and 3,942,850.40 is: 5,438,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,648.57 : 8,648,440.50 = 3,942,850.40 : x
  2. Step 2: Convert to fraction form
    6,269,648.57/8,648,440.50 = 3,942,850.40/x
  3. Step 3: Cross multiply
    6,269,648.57x = 8,648,440.50 × 3,942,850.40
  4. Step 4: Simplify right side
    6,269,648.57x = 34,099,507,088,776.34
  5. Step 5: Solve for x
    x = 34,099,507,088,776.34/6,269,648.57
  6. Step 6: Final answer
    x = 5,438,822.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.