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Finding the Fourth Proportional to 213,461.34, 320,191.98 and 80,371.44

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Solution

The fourth proportional to 213,461.34, 320,191.98 and 80,371.44 is: 120,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,461.34 : 320,191.98 = 80,371.44 : x
  2. Step 2: Convert to fraction form
    213,461.34/320,191.98 = 80,371.44/x
  3. Step 3: Cross multiply
    213,461.34x = 320,191.98 × 80,371.44
  4. Step 4: Simplify right side
    213,461.34x = 25,734,290,509.05
  5. Step 5: Solve for x
    x = 25,734,290,509.05/213,461.34
  6. Step 6: Final answer
    x = 120,557.15

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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.