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Finding the Fourth Proportional to 383,170.87, 573,728.44 and 214,210

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Solution

The fourth proportional to 383,170.87, 573,728.44 and 214,210 is: 320,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,170.87 : 573,728.44 = 214,210 : x
  2. Step 2: Convert to fraction form
    383,170.87/573,728.44 = 214,210/x
  3. Step 3: Cross multiply
    383,170.87x = 573,728.44 × 214,210
  4. Step 4: Simplify right side
    383,170.87x = 122,898,369,132.40
  5. Step 5: Solve for x
    x = 122,898,369,132.40/383,170.87
  6. Step 6: Final answer
    x = 320,740.38

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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.