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Finding the Fourth Proportional to 431,698.80, 648,131.40 and 274,234.80

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Solution

The fourth proportional to 431,698.80, 648,131.40 and 274,234.80 is: 411,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,698.80 : 648,131.40 = 274,234.80 : x
  2. Step 2: Convert to fraction form
    431,698.80/648,131.40 = 274,234.80/x
  3. Step 3: Cross multiply
    431,698.80x = 648,131.40 × 274,234.80
  4. Step 4: Simplify right side
    431,698.80x = 177,740,184,852.72
  5. Step 5: Solve for x
    x = 177,740,184,852.72/431,698.80
  6. Step 6: Final answer
    x = 411,722.68

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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.