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Finding the Fourth Proportional to 213,959.20, 320,852.40 and 73,645.60

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Solution

The fourth proportional to 213,959.20, 320,852.40 and 73,645.60 is: 110,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,959.20 : 320,852.40 = 73,645.60 : x
  2. Step 2: Convert to fraction form
    213,959.20/320,852.40 = 73,645.60/x
  3. Step 3: Cross multiply
    213,959.20x = 320,852.40 × 73,645.60
  4. Step 4: Simplify right side
    213,959.20x = 23,629,367,509.44
  5. Step 5: Solve for x
    x = 23,629,367,509.44/213,959.20
  6. Step 6: Final answer
    x = 110,438.66

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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.