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Finding the Fourth Proportional to 492,754.40, 739,131.60 and 212,271.65

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Solution

The fourth proportional to 492,754.40, 739,131.60 and 212,271.65 is: 318,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,754.40 : 739,131.60 = 212,271.65 : x
  2. Step 2: Convert to fraction form
    492,754.40/739,131.60 = 212,271.65/x
  3. Step 3: Cross multiply
    492,754.40x = 739,131.60 × 212,271.65
  4. Step 4: Simplify right side
    492,754.40x = 156,896,684,299.14
  5. Step 5: Solve for x
    x = 156,896,684,299.14/492,754.40
  6. Step 6: Final answer
    x = 318,407.48

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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.