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Finding the Fourth Proportional to 831,676.42, 1,147,665.86 and 469,078.64

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Solution

The fourth proportional to 831,676.42, 1,147,665.86 and 469,078.64 is: 647,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,676.42 : 1,147,665.86 = 469,078.64 : x
  2. Step 2: Convert to fraction form
    831,676.42/1,147,665.86 = 469,078.64/x
  3. Step 3: Cross multiply
    831,676.42x = 1,147,665.86 × 469,078.64
  4. Step 4: Simplify right side
    831,676.42x = 538,345,540,783.23
  5. Step 5: Solve for x
    x = 538,345,540,783.23/831,676.42
  6. Step 6: Final answer
    x = 647,301.68

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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.