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Finding the Fourth Proportional to 492,279.12, 738,415.44 and 137,295

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Solution

The fourth proportional to 492,279.12, 738,415.44 and 137,295 is: 205,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,279.12 : 738,415.44 = 137,295 : x
  2. Step 2: Convert to fraction form
    492,279.12/738,415.44 = 137,295/x
  3. Step 3: Cross multiply
    492,279.12x = 738,415.44 × 137,295
  4. Step 4: Simplify right side
    492,279.12x = 101,380,747,834.80
  5. Step 5: Solve for x
    x = 101,380,747,834.80/492,279.12
  6. Step 6: Final answer
    x = 205,941.60

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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.