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Finding the Fourth Proportional to 214,700.80, 322,310.40 and 213,145.60

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Solution

The fourth proportional to 214,700.80, 322,310.40 and 213,145.60 is: 319,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,700.80 : 322,310.40 = 213,145.60 : x
  2. Step 2: Convert to fraction form
    214,700.80/322,310.40 = 213,145.60/x
  3. Step 3: Cross multiply
    214,700.80x = 322,310.40 × 213,145.60
  4. Step 4: Simplify right side
    214,700.80x = 68,699,043,594.24
  5. Step 5: Solve for x
    x = 68,699,043,594.24/214,700.80
  6. Step 6: Final answer
    x = 319,975.72

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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.