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Finding the Fourth Proportional to 289,707.60, 434,561.40 and 123,819.60

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Solution

The fourth proportional to 289,707.60, 434,561.40 and 123,819.60 is: 185,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,707.60 : 434,561.40 = 123,819.60 : x
  2. Step 2: Convert to fraction form
    289,707.60/434,561.40 = 123,819.60/x
  3. Step 3: Cross multiply
    289,707.60x = 434,561.40 × 123,819.60
  4. Step 4: Simplify right side
    289,707.60x = 53,807,218,723.44
  5. Step 5: Solve for x
    x = 53,807,218,723.44/289,707.60
  6. Step 6: Final answer
    x = 185,729.40

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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.