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Finding the Fourth Proportional to 289,819.70, 434,527.05 and 171,430.10

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Solution

The fourth proportional to 289,819.70, 434,527.05 and 171,430.10 is: 257,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,819.70 : 434,527.05 = 171,430.10 : x
  2. Step 2: Convert to fraction form
    289,819.70/434,527.05 = 171,430.10/x
  3. Step 3: Cross multiply
    289,819.70x = 434,527.05 × 171,430.10
  4. Step 4: Simplify right side
    289,819.70x = 74,491,015,634.21
  5. Step 5: Solve for x
    x = 74,491,015,634.21/289,819.70
  6. Step 6: Final answer
    x = 257,025.37

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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.