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Finding the Fourth Proportional to 342,874.68, 513,997.02 and 118,181.76

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Solution

The fourth proportional to 342,874.68, 513,997.02 and 118,181.76 is: 177,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,874.68 : 513,997.02 = 118,181.76 : x
  2. Step 2: Convert to fraction form
    342,874.68/513,997.02 = 118,181.76/x
  3. Step 3: Cross multiply
    342,874.68x = 513,997.02 × 118,181.76
  4. Step 4: Simplify right side
    342,874.68x = 60,745,072,458.36
  5. Step 5: Solve for x
    x = 60,745,072,458.36/342,874.68
  6. Step 6: Final answer
    x = 177,164.07

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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.