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Finding the Fourth Proportional to 824,622.58, 1,235,513.76 and 644,638

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Solution

The fourth proportional to 824,622.58, 1,235,513.76 and 644,638 is: 965,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,622.58 : 1,235,513.76 = 644,638 : x
  2. Step 2: Convert to fraction form
    824,622.58/1,235,513.76 = 644,638/x
  3. Step 3: Cross multiply
    824,622.58x = 1,235,513.76 × 644,638
  4. Step 4: Simplify right side
    824,622.58x = 796,459,119,218.88
  5. Step 5: Solve for x
    x = 796,459,119,218.88/824,622.58
  6. Step 6: Final answer
    x = 965,846.85

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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.