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Finding the Fourth Proportional to 325,722.30, 488,583.45 and 213,747.90

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Solution

The fourth proportional to 325,722.30, 488,583.45 and 213,747.90 is: 320,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,722.30 : 488,583.45 = 213,747.90 : x
  2. Step 2: Convert to fraction form
    325,722.30/488,583.45 = 213,747.90/x
  3. Step 3: Cross multiply
    325,722.30x = 488,583.45 × 213,747.90
  4. Step 4: Simplify right side
    325,722.30x = 104,433,686,412.26
  5. Step 5: Solve for x
    x = 104,433,686,412.26/325,722.30
  6. Step 6: Final answer
    x = 320,621.85

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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.