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Finding the Fourth Proportional to 264,428.76, 396,692.34 and 86,942.77

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Solution

The fourth proportional to 264,428.76, 396,692.34 and 86,942.77 is: 130,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428.76 : 396,692.34 = 86,942.77 : x
  2. Step 2: Convert to fraction form
    264,428.76/396,692.34 = 86,942.77/x
  3. Step 3: Cross multiply
    264,428.76x = 396,692.34 × 86,942.77
  4. Step 4: Simplify right side
    264,428.76x = 34,489,530,877.38
  5. Step 5: Solve for x
    x = 34,489,530,877.38/264,428.76
  6. Step 6: Final answer
    x = 130,430.33

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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.