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Finding the Fourth Proportional to 289,667.26, 399,757.26 and 162,351.07

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Solution

The fourth proportional to 289,667.26, 399,757.26 and 162,351.07 is: 224,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,667.26 : 399,757.26 = 162,351.07 : x
  2. Step 2: Convert to fraction form
    289,667.26/399,757.26 = 162,351.07/x
  3. Step 3: Cross multiply
    289,667.26x = 399,757.26 × 162,351.07
  4. Step 4: Simplify right side
    289,667.26x = 64,901,018,901.27
  5. Step 5: Solve for x
    x = 64,901,018,901.27/289,667.26
  6. Step 6: Final answer
    x = 224,053.69

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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.