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Finding the Fourth Proportional to 342,208.08, 513,399.72 and 142,462.08

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Solution

The fourth proportional to 342,208.08, 513,399.72 and 142,462.08 is: 213,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,208.08 : 513,399.72 = 142,462.08 : x
  2. Step 2: Convert to fraction form
    342,208.08/513,399.72 = 142,462.08/x
  3. Step 3: Cross multiply
    342,208.08x = 513,399.72 × 142,462.08
  4. Step 4: Simplify right side
    342,208.08x = 73,139,991,982.62
  5. Step 5: Solve for x
    x = 73,139,991,982.62/342,208.08
  6. Step 6: Final answer
    x = 213,729.59

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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.