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Finding the Fourth Proportional to 806,576.80, 1,209,980.40 and 274,122.40

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Solution

The fourth proportional to 806,576.80, 1,209,980.40 and 274,122.40 is: 411,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,576.80 : 1,209,980.40 = 274,122.40 : x
  2. Step 2: Convert to fraction form
    806,576.80/1,209,980.40 = 274,122.40/x
  3. Step 3: Cross multiply
    806,576.80x = 1,209,980.40 × 274,122.40
  4. Step 4: Simplify right side
    806,576.80x = 331,682,731,200.96
  5. Step 5: Solve for x
    x = 331,682,731,200.96/806,576.80
  6. Step 6: Final answer
    x = 411,222.75

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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.