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Finding the Fourth Proportional to 470,198.40, 705,297.60 and 115,215.90

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Solution

The fourth proportional to 470,198.40, 705,297.60 and 115,215.90 is: 172,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,198.40 : 705,297.60 = 115,215.90 : x
  2. Step 2: Convert to fraction form
    470,198.40/705,297.60 = 115,215.90/x
  3. Step 3: Cross multiply
    470,198.40x = 705,297.60 × 115,215.90
  4. Step 4: Simplify right side
    470,198.40x = 81,261,497,751.84
  5. Step 5: Solve for x
    x = 81,261,497,751.84/470,198.40
  6. Step 6: Final answer
    x = 172,823.85

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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.