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Finding the Fourth Proportional to 289,703.88, 399,644.82 and 214,121.16

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Solution

The fourth proportional to 289,703.88, 399,644.82 and 214,121.16 is: 295,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,703.88 : 399,644.82 = 214,121.16 : x
  2. Step 2: Convert to fraction form
    289,703.88/399,644.82 = 214,121.16/x
  3. Step 3: Cross multiply
    289,703.88x = 399,644.82 × 214,121.16
  4. Step 4: Simplify right side
    289,703.88x = 85,572,412,446.39
  5. Step 5: Solve for x
    x = 85,572,412,446.39/289,703.88
  6. Step 6: Final answer
    x = 295,378.90

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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.