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Finding the Fourth Proportional to 342,939.20, 514,489.84 and 143,148.56

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Solution

The fourth proportional to 342,939.20, 514,489.84 and 143,148.56 is: 214,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,939.20 : 514,489.84 = 143,148.56 : x
  2. Step 2: Convert to fraction form
    342,939.20/514,489.84 = 143,148.56/x
  3. Step 3: Cross multiply
    342,939.20x = 514,489.84 × 143,148.56
  4. Step 4: Simplify right side
    342,939.20x = 73,648,479,730.63
  5. Step 5: Solve for x
    x = 73,648,479,730.63/342,939.20
  6. Step 6: Final answer
    x = 214,756.67

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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.