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Finding the Fourth Proportional to 295,906.60, 443,859.90 and 201,428.20

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Solution

The fourth proportional to 295,906.60, 443,859.90 and 201,428.20 is: 302,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,906.60 : 443,859.90 = 201,428.20 : x
  2. Step 2: Convert to fraction form
    295,906.60/443,859.90 = 201,428.20/x
  3. Step 3: Cross multiply
    295,906.60x = 443,859.90 × 201,428.20
  4. Step 4: Simplify right side
    295,906.60x = 89,405,900,709.18
  5. Step 5: Solve for x
    x = 89,405,900,709.18/295,906.60
  6. Step 6: Final answer
    x = 302,142.30

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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.