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Finding the Fourth Proportional to 289,889.92, 400,068.60 and 160,869.72

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Solution

The fourth proportional to 289,889.92, 400,068.60 and 160,869.72 is: 222,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,889.92 : 400,068.60 = 160,869.72 : x
  2. Step 2: Convert to fraction form
    289,889.92/400,068.60 = 160,869.72/x
  3. Step 3: Cross multiply
    289,889.92x = 400,068.60 × 160,869.72
  4. Step 4: Simplify right side
    289,889.92x = 64,358,923,662.79
  5. Step 5: Solve for x
    x = 64,358,923,662.79/289,889.92
  6. Step 6: Final answer
    x = 222,011.60

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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.