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Finding the Fourth Proportional to 213,624.20, 320,436.30 and 205,459.40

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Solution

The fourth proportional to 213,624.20, 320,436.30 and 205,459.40 is: 308,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624.20 : 320,436.30 = 205,459.40 : x
  2. Step 2: Convert to fraction form
    213,624.20/320,436.30 = 205,459.40/x
  3. Step 3: Cross multiply
    213,624.20x = 320,436.30 × 205,459.40
  4. Step 4: Simplify right side
    213,624.20x = 65,836,649,936.22
  5. Step 5: Solve for x
    x = 65,836,649,936.22/213,624.20
  6. Step 6: Final answer
    x = 308,189.10

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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.