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Finding the Fourth Proportional to 289,658.97, 399,745.78 and 162,342.77

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Solution

The fourth proportional to 289,658.97, 399,745.78 and 162,342.77 is: 224,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658.97 : 399,745.78 = 162,342.77 : x
  2. Step 2: Convert to fraction form
    289,658.97/399,745.78 = 162,342.77/x
  3. Step 3: Cross multiply
    289,658.97x = 399,745.78 × 162,342.77
  4. Step 4: Simplify right side
    289,658.97x = 64,895,834,816.42
  5. Step 5: Solve for x
    x = 64,895,834,816.42/289,658.97
  6. Step 6: Final answer
    x = 224,042.21

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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.