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Finding the Fourth Proportional to 282,137.84, 389,349.15 and 154,815.56

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Solution

The fourth proportional to 282,137.84, 389,349.15 and 154,815.56 is: 213,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,137.84 : 389,349.15 = 154,815.56 : x
  2. Step 2: Convert to fraction form
    282,137.84/389,349.15 = 154,815.56/x
  3. Step 3: Cross multiply
    282,137.84x = 389,349.15 × 154,815.56
  4. Step 4: Simplify right side
    282,137.84x = 60,277,306,692.77
  5. Step 5: Solve for x
    x = 60,277,306,692.77/282,137.84
  6. Step 6: Final answer
    x = 213,644.89

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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.