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Finding the Fourth Proportional to 6,628,447.90, 9,921,676.65 and 5,200,774.30

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Solution

The fourth proportional to 6,628,447.90, 9,921,676.65 and 5,200,774.30 is: 7,784,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628,447.90 : 9,921,676.65 = 5,200,774.30 : x
  2. Step 2: Convert to fraction form
    6,628,447.90/9,921,676.65 = 5,200,774.30/x
  3. Step 3: Cross multiply
    6,628,447.90x = 9,921,676.65 × 5,200,774.30
  4. Step 4: Simplify right side
    6,628,447.90x = 51,600,400,934,230.09
  5. Step 5: Solve for x
    x = 51,600,400,934,230.09/6,628,447.90
  6. Step 6: Final answer
    x = 7,784,688.32

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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.