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Finding the Fourth Proportional to 342,169.78, 513,243.97 and 142,485.11

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Solution

The fourth proportional to 342,169.78, 513,243.97 and 142,485.11 is: 213,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,169.78 : 513,243.97 = 142,485.11 : x
  2. Step 2: Convert to fraction form
    342,169.78/513,243.97 = 142,485.11/x
  3. Step 3: Cross multiply
    342,169.78x = 513,243.97 × 142,485.11
  4. Step 4: Simplify right side
    342,169.78x = 73,129,623,522.29
  5. Step 5: Solve for x
    x = 73,129,623,522.29/342,169.78
  6. Step 6: Final answer
    x = 213,723.21

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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.