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Finding the Fourth Proportional to 214,205.20, 321,307.80 and 206,040.40

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Solution

The fourth proportional to 214,205.20, 321,307.80 and 206,040.40 is: 309,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205.20 : 321,307.80 = 206,040.40 : x
  2. Step 2: Convert to fraction form
    214,205.20/321,307.80 = 206,040.40/x
  3. Step 3: Cross multiply
    214,205.20x = 321,307.80 × 206,040.40
  4. Step 4: Simplify right side
    214,205.20x = 66,202,387,635.12
  5. Step 5: Solve for x
    x = 66,202,387,635.12/214,205.20
  6. Step 6: Final answer
    x = 309,060.60

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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.