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Finding the Fourth Proportional to 377,901.54, 521,493.61 and 205,815.73

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Solution

The fourth proportional to 377,901.54, 521,493.61 and 205,815.73 is: 284,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,901.54 : 521,493.61 = 205,815.73 : x
  2. Step 2: Convert to fraction form
    377,901.54/521,493.61 = 205,815.73/x
  3. Step 3: Cross multiply
    377,901.54x = 521,493.61 × 205,815.73
  4. Step 4: Simplify right side
    377,901.54x = 107,331,588,032.49
  5. Step 5: Solve for x
    x = 107,331,588,032.49/377,901.54
  6. Step 6: Final answer
    x = 284,019.98

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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.