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Finding the Fourth Proportional to 338,408.60, 507,467.10 and 169,863.80

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Solution

The fourth proportional to 338,408.60, 507,467.10 and 169,863.80 is: 254,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,408.60 : 507,467.10 = 169,863.80 : x
  2. Step 2: Convert to fraction form
    338,408.60/507,467.10 = 169,863.80/x
  3. Step 3: Cross multiply
    338,408.60x = 507,467.10 × 169,863.80
  4. Step 4: Simplify right side
    338,408.60x = 86,200,289,980.98
  5. Step 5: Solve for x
    x = 86,200,289,980.98/338,408.60
  6. Step 6: Final answer
    x = 254,722.52

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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.