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Finding the Fourth Proportional to 289,885.92, 400,063.08 and 160,865.72

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Solution

The fourth proportional to 289,885.92, 400,063.08 and 160,865.72 is: 222,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,885.92 : 400,063.08 = 160,865.72 : x
  2. Step 2: Convert to fraction form
    289,885.92/400,063.08 = 160,865.72/x
  3. Step 3: Cross multiply
    289,885.92x = 400,063.08 × 160,865.72
  4. Step 4: Simplify right side
    289,885.92x = 64,356,435,409.62
  5. Step 5: Solve for x
    x = 64,356,435,409.62/289,885.92
  6. Step 6: Final answer
    x = 222,006.08

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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.