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Finding the Fourth Proportional to 289,732.26, 399,829.25 and 162,407.85

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Solution

The fourth proportional to 289,732.26, 399,829.25 and 162,407.85 is: 224,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,732.26 : 399,829.25 = 162,407.85 : x
  2. Step 2: Convert to fraction form
    289,732.26/399,829.25 = 162,407.85/x
  3. Step 3: Cross multiply
    289,732.26x = 399,829.25 × 162,407.85
  4. Step 4: Simplify right side
    289,732.26x = 64,935,408,859.61
  5. Step 5: Solve for x
    x = 64,935,408,859.61/289,732.26
  6. Step 6: Final answer
    x = 224,122.12

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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.