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Finding the Fourth Proportional to 289,769.96, 399,901.74 and 162,453.80

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Solution

The fourth proportional to 289,769.96, 399,901.74 and 162,453.80 is: 224,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,769.96 : 399,901.74 = 162,453.80 : x
  2. Step 2: Convert to fraction form
    289,769.96/399,901.74 = 162,453.80/x
  3. Step 3: Cross multiply
    289,769.96x = 399,901.74 × 162,453.80
  4. Step 4: Simplify right side
    289,769.96x = 64,965,557,289.61
  5. Step 5: Solve for x
    x = 64,965,557,289.61/289,769.96
  6. Step 6: Final answer
    x = 224,197.01

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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.