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Finding the Fourth Proportional to 289,792.20, 434,882.70 and 171,337.80

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Solution

The fourth proportional to 289,792.20, 434,882.70 and 171,337.80 is: 257,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.20 : 434,882.70 = 171,337.80 : x
  2. Step 2: Convert to fraction form
    289,792.20/434,882.70 = 171,337.80/x
  3. Step 3: Cross multiply
    289,792.20x = 434,882.70 × 171,337.80
  4. Step 4: Simplify right side
    289,792.20x = 74,511,845,076.06
  5. Step 5: Solve for x
    x = 74,511,845,076.06/289,792.20
  6. Step 6: Final answer
    x = 257,121.64

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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.