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Finding the Fourth Proportional to 213,459.40, 320,189.10 and 200,326.60

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Solution

The fourth proportional to 213,459.40, 320,189.10 and 200,326.60 is: 300,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,459.40 : 320,189.10 = 200,326.60 : x
  2. Step 2: Convert to fraction form
    213,459.40/320,189.10 = 200,326.60/x
  3. Step 3: Cross multiply
    213,459.40x = 320,189.10 × 200,326.60
  4. Step 4: Simplify right side
    213,459.40x = 64,142,393,760.06
  5. Step 5: Solve for x
    x = 64,142,393,760.06/213,459.40
  6. Step 6: Final answer
    x = 300,489.90

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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.