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Finding the Fourth Proportional to 383,169.87, 573,726.95 and 214,209

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Solution

The fourth proportional to 383,169.87, 573,726.95 and 214,209 is: 320,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,169.87 : 573,726.95 = 214,209 : x
  2. Step 2: Convert to fraction form
    383,169.87/573,726.95 = 214,209/x
  3. Step 3: Cross multiply
    383,169.87x = 573,726.95 × 214,209
  4. Step 4: Simplify right side
    383,169.87x = 122,897,475,161.51
  5. Step 5: Solve for x
    x = 122,897,475,161.51/383,169.87
  6. Step 6: Final answer
    x = 320,738.88

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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.