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Finding the Fourth Proportional to 470,361.33, 647,911.74 and 379,462.77

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Solution

The fourth proportional to 470,361.33, 647,911.74 and 379,462.77 is: 522,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,361.33 : 647,911.74 = 379,462.77 : x
  2. Step 2: Convert to fraction form
    470,361.33/647,911.74 = 379,462.77/x
  3. Step 3: Cross multiply
    470,361.33x = 647,911.74 × 379,462.77
  4. Step 4: Simplify right side
    470,361.33x = 245,858,383,575.92
  5. Step 5: Solve for x
    x = 245,858,383,575.92/470,361.33
  6. Step 6: Final answer
    x = 522,701.10

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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.