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Finding the Fourth Proportional to 301,025.12, 415,380.84 and 173,742.80

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Solution

The fourth proportional to 301,025.12, 415,380.84 and 173,742.80 is: 239,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.12 : 415,380.84 = 173,742.80 : x
  2. Step 2: Convert to fraction form
    301,025.12/415,380.84 = 173,742.80/x
  3. Step 3: Cross multiply
    301,025.12x = 415,380.84 × 173,742.80
  4. Step 4: Simplify right side
    301,025.12x = 72,169,430,207.95
  5. Step 5: Solve for x
    x = 72,169,430,207.95/301,025.12
  6. Step 6: Final answer
    x = 239,745.54

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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.