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Finding the Fourth Proportional to 214,638.80, 322,217.40 and 213,083.60

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Solution

The fourth proportional to 214,638.80, 322,217.40 and 213,083.60 is: 319,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638.80 : 322,217.40 = 213,083.60 : x
  2. Step 2: Convert to fraction form
    214,638.80/322,217.40 = 213,083.60/x
  3. Step 3: Cross multiply
    214,638.80x = 322,217.40 × 213,083.60
  4. Step 4: Simplify right side
    214,638.80x = 68,659,243,574.64
  5. Step 5: Solve for x
    x = 68,659,243,574.64/214,638.80
  6. Step 6: Final answer
    x = 319,882.72

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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.