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Finding the Fourth Proportional to 451,884, 677,826 and 156,396

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Solution

The fourth proportional to 451,884, 677,826 and 156,396 is: 234,594

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,884 : 677,826 = 156,396 : x
  2. Step 2: Convert to fraction form
    451,884/677,826 = 156,396/x
  3. Step 3: Cross multiply
    451,884x = 677,826 × 156,396
  4. Step 4: Simplify right side
    451,884x = 106,009,275,096
  5. Step 5: Solve for x
    x = 106,009,275,096/451,884
  6. Step 6: Final answer
    x = 234,594

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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.