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Finding the Fourth Proportional to 412,262.37, 618,377.37 and 172,314.30

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Solution

The fourth proportional to 412,262.37, 618,377.37 and 172,314.30 is: 258,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,262.37 : 618,377.37 = 172,314.30 : x
  2. Step 2: Convert to fraction form
    412,262.37/618,377.37 = 172,314.30/x
  3. Step 3: Cross multiply
    412,262.37x = 618,377.37 × 172,314.30
  4. Step 4: Simplify right side
    412,262.37x = 106,555,263,647.39
  5. Step 5: Solve for x
    x = 106,555,263,647.39/412,262.37
  6. Step 6: Final answer
    x = 258,464.69

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1.5x scale

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.