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Finding the Fourth Proportional to 289,709.87, 399,800.51 and 160,657.43

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Solution

The fourth proportional to 289,709.87, 399,800.51 and 160,657.43 is: 221,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.87 : 399,800.51 = 160,657.43 : x
  2. Step 2: Convert to fraction form
    289,709.87/399,800.51 = 160,657.43/x
  3. Step 3: Cross multiply
    289,709.87x = 399,800.51 × 160,657.43
  4. Step 4: Simplify right side
    289,709.87x = 64,230,923,850.43
  5. Step 5: Solve for x
    x = 64,230,923,850.43/289,709.87
  6. Step 6: Final answer
    x = 221,707.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.