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Finding the Fourth Proportional to 647,438.98, 971,757.42 and 327,815.50

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Solution

The fourth proportional to 647,438.98, 971,757.42 and 327,815.50 is: 492,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,438.98 : 971,757.42 = 327,815.50 : x
  2. Step 2: Convert to fraction form
    647,438.98/971,757.42 = 327,815.50/x
  3. Step 3: Cross multiply
    647,438.98x = 971,757.42 × 327,815.50
  4. Step 4: Simplify right side
    647,438.98x = 318,557,144,516.01
  5. Step 5: Solve for x
    x = 318,557,144,516.01/647,438.98
  6. Step 6: Final answer
    x = 492,026.51

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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.