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Finding the Fourth Proportional to 378,049.37, 521,706.50 and 205,966.79

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Solution

The fourth proportional to 378,049.37, 521,706.50 and 205,966.79 is: 284,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,049.37 : 521,706.50 = 205,966.79 : x
  2. Step 2: Convert to fraction form
    378,049.37/521,706.50 = 205,966.79/x
  3. Step 3: Cross multiply
    378,049.37x = 521,706.50 × 205,966.79
  4. Step 4: Simplify right side
    378,049.37x = 107,454,209,488.77
  5. Step 5: Solve for x
    x = 107,454,209,488.77/378,049.37
  6. Step 6: Final answer
    x = 284,233.28

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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.