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Finding the Fourth Proportional to 289,812.96, 399,961.20 and 162,496.80

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Solution

The fourth proportional to 289,812.96, 399,961.20 and 162,496.80 is: 224,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,812.96 : 399,961.20 = 162,496.80 : x
  2. Step 2: Convert to fraction form
    289,812.96/399,961.20 = 162,496.80/x
  3. Step 3: Cross multiply
    289,812.96x = 399,961.20 × 162,496.80
  4. Step 4: Simplify right side
    289,812.96x = 64,992,415,124.16
  5. Step 5: Solve for x
    x = 64,992,415,124.16/289,812.96
  6. Step 6: Final answer
    x = 224,256.41

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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.