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Finding the Fourth Proportional to 212,657.40, 318,986.10 and 204,492.60

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Solution

The fourth proportional to 212,657.40, 318,986.10 and 204,492.60 is: 306,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,657.40 : 318,986.10 = 204,492.60 : x
  2. Step 2: Convert to fraction form
    212,657.40/318,986.10 = 204,492.60/x
  3. Step 3: Cross multiply
    212,657.40x = 318,986.10 × 204,492.60
  4. Step 4: Simplify right side
    212,657.40x = 65,230,296,952.86
  5. Step 5: Solve for x
    x = 65,230,296,952.86/212,657.40
  6. Step 6: Final answer
    x = 306,738.90

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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.