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Finding the Fourth Proportional to 647,439.98, 971,758.92 and 327,816.50

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Solution

The fourth proportional to 647,439.98, 971,758.92 and 327,816.50 is: 492,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,439.98 : 971,758.92 = 327,816.50 : x
  2. Step 2: Convert to fraction form
    647,439.98/971,758.92 = 327,816.50/x
  3. Step 3: Cross multiply
    647,439.98x = 971,758.92 × 327,816.50
  4. Step 4: Simplify right side
    647,439.98x = 318,558,607,998.18
  5. Step 5: Solve for x
    x = 318,558,607,998.18/647,439.98
  6. Step 6: Final answer
    x = 492,028.01

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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.