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Finding the Fourth Proportional to 214,540.80, 321,811.20 and 164,774.40

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Solution

The fourth proportional to 214,540.80, 321,811.20 and 164,774.40 is: 247,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,540.80 : 321,811.20 = 164,774.40 : x
  2. Step 2: Convert to fraction form
    214,540.80/321,811.20 = 164,774.40/x
  3. Step 3: Cross multiply
    214,540.80x = 321,811.20 × 164,774.40
  4. Step 4: Simplify right side
    214,540.80x = 53,026,247,393.28
  5. Step 5: Solve for x
    x = 53,026,247,393.28/214,540.80
  6. Step 6: Final answer
    x = 247,161.60

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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.