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Finding the Fourth Proportional to 315,234.20, 435,021.72 and 171,993.80

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Solution

The fourth proportional to 315,234.20, 435,021.72 and 171,993.80 is: 237,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,234.20 : 435,021.72 = 171,993.80 : x
  2. Step 2: Convert to fraction form
    315,234.20/435,021.72 = 171,993.80/x
  3. Step 3: Cross multiply
    315,234.20x = 435,021.72 × 171,993.80
  4. Step 4: Simplify right side
    315,234.20x = 74,821,038,705.34
  5. Step 5: Solve for x
    x = 74,821,038,705.34/315,234.20
  6. Step 6: Final answer
    x = 237,350.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.