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Finding the Fourth Proportional to 272,440.95, 408,676.80 and 82,907.51

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Solution

The fourth proportional to 272,440.95, 408,676.80 and 82,907.51 is: 124,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,440.95 : 408,676.80 = 82,907.51 : x
  2. Step 2: Convert to fraction form
    272,440.95/408,676.80 = 82,907.51/x
  3. Step 3: Cross multiply
    272,440.95x = 408,676.80 × 82,907.51
  4. Step 4: Simplify right side
    272,440.95x = 33,882,373,839.38
  5. Step 5: Solve for x
    x = 33,882,373,839.38/272,440.95
  6. Step 6: Final answer
    x = 124,365.94

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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.