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Finding the Fourth Proportional to 298,647, 412,127.12 and 162,679.36

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Solution

The fourth proportional to 298,647, 412,127.12 and 162,679.36 is: 224,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,647 : 412,127.12 = 162,679.36 : x
  2. Step 2: Convert to fraction form
    298,647/412,127.12 = 162,679.36/x
  3. Step 3: Cross multiply
    298,647x = 412,127.12 × 162,679.36
  4. Step 4: Simplify right side
    298,647x = 67,044,576,120.24
  5. Step 5: Solve for x
    x = 67,044,576,120.24/298,647
  6. Step 6: Final answer
    x = 224,494.39

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1.5x scale

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.