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Finding the Fourth Proportional to 342,396.36, 513,316.26 and 142,865.37

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Solution

The fourth proportional to 342,396.36, 513,316.26 and 142,865.37 is: 214,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,396.36 : 513,316.26 = 142,865.37 : x
  2. Step 2: Convert to fraction form
    342,396.36/513,316.26 = 142,865.37/x
  3. Step 3: Cross multiply
    342,396.36x = 513,316.26 × 142,865.37
  4. Step 4: Simplify right side
    342,396.36x = 73,335,117,411.92
  5. Step 5: Solve for x
    x = 73,335,117,411.92/342,396.36
  6. Step 6: Final answer
    x = 214,181.94

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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.