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Finding the Fourth Proportional to 276,205.43, 413,930.15 and 208,681.95

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Solution

The fourth proportional to 276,205.43, 413,930.15 and 208,681.95 is: 312,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,205.43 : 413,930.15 = 208,681.95 : x
  2. Step 2: Convert to fraction form
    276,205.43/413,930.15 = 208,681.95/x
  3. Step 3: Cross multiply
    276,205.43x = 413,930.15 × 208,681.95
  4. Step 4: Simplify right side
    276,205.43x = 86,379,749,822.38
  5. Step 5: Solve for x
    x = 86,379,749,822.38/276,205.43
  6. Step 6: Final answer
    x = 312,737.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.