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Finding the Fourth Proportional to 289,818.20, 434,524.80 and 171,428.60

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Solution

The fourth proportional to 289,818.20, 434,524.80 and 171,428.60 is: 257,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,818.20 : 434,524.80 = 171,428.60 : x
  2. Step 2: Convert to fraction form
    289,818.20/434,524.80 = 171,428.60/x
  3. Step 3: Cross multiply
    289,818.20x = 434,524.80 × 171,428.60
  4. Step 4: Simplify right side
    289,818.20x = 74,489,978,129.28
  5. Step 5: Solve for x
    x = 74,489,978,129.28/289,818.20
  6. Step 6: Final answer
    x = 257,023.12

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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.