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Finding the Fourth Proportional to 356,960.26, 492,620.70 and 213,692.68

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Solution

The fourth proportional to 356,960.26, 492,620.70 and 213,692.68 is: 294,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,960.26 : 492,620.70 = 213,692.68 : x
  2. Step 2: Convert to fraction form
    356,960.26/492,620.70 = 213,692.68/x
  3. Step 3: Cross multiply
    356,960.26x = 492,620.70 × 213,692.68
  4. Step 4: Simplify right side
    356,960.26x = 105,269,437,606.48
  5. Step 5: Solve for x
    x = 105,269,437,606.48/356,960.26
  6. Step 6: Final answer
    x = 294,905.20

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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.