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Finding the Fourth Proportional to 342,129.85, 512,859.59 and 190,399.29

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Solution

The fourth proportional to 342,129.85, 512,859.59 and 190,399.29 is: 285,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,129.85 : 512,859.59 = 190,399.29 : x
  2. Step 2: Convert to fraction form
    342,129.85/512,859.59 = 190,399.29/x
  3. Step 3: Cross multiply
    342,129.85x = 512,859.59 × 190,399.29
  4. Step 4: Simplify right side
    342,129.85x = 97,648,103,143.73
  5. Step 5: Solve for x
    x = 97,648,103,143.73/342,129.85
  6. Step 6: Final answer
    x = 285,412.41

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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.