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Finding the Fourth Proportional to 289,658.85, 399,745.61 and 162,342.64

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Solution

The fourth proportional to 289,658.85, 399,745.61 and 162,342.64 is: 224,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658.85 : 399,745.61 = 162,342.64 : x
  2. Step 2: Convert to fraction form
    289,658.85/399,745.61 = 162,342.64/x
  3. Step 3: Cross multiply
    289,658.85x = 399,745.61 × 162,342.64
  4. Step 4: Simplify right side
    289,658.85x = 64,895,757,655.81
  5. Step 5: Solve for x
    x = 64,895,757,655.81/289,658.85
  6. Step 6: Final answer
    x = 224,042.03

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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.