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Finding the Fourth Proportional to 295,697.70, 443,546.55 and 137,942.10

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Solution

The fourth proportional to 295,697.70, 443,546.55 and 137,942.10 is: 206,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,697.70 : 443,546.55 = 137,942.10 : x
  2. Step 2: Convert to fraction form
    295,697.70/443,546.55 = 137,942.10/x
  3. Step 3: Cross multiply
    295,697.70x = 443,546.55 × 137,942.10
  4. Step 4: Simplify right side
    295,697.70x = 61,183,742,554.76
  5. Step 5: Solve for x
    x = 61,183,742,554.76/295,697.70
  6. Step 6: Final answer
    x = 206,913.15

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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.