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Finding the Fourth Proportional to 617,829.70, 926,744.55 and 218,467.30

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Solution

The fourth proportional to 617,829.70, 926,744.55 and 218,467.30 is: 327,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,829.70 : 926,744.55 = 218,467.30 : x
  2. Step 2: Convert to fraction form
    617,829.70/926,744.55 = 218,467.30/x
  3. Step 3: Cross multiply
    617,829.70x = 926,744.55 × 218,467.30
  4. Step 4: Simplify right side
    617,829.70x = 202,463,379,628.22
  5. Step 5: Solve for x
    x = 202,463,379,628.22/617,829.70
  6. Step 6: Final answer
    x = 327,700.95

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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.