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Finding the Fourth Proportional to 488,656.09, 732,993.86 and 321,244.21

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Solution

The fourth proportional to 488,656.09, 732,993.86 and 321,244.21 is: 481,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,656.09 : 732,993.86 = 321,244.21 : x
  2. Step 2: Convert to fraction form
    488,656.09/732,993.86 = 321,244.21/x
  3. Step 3: Cross multiply
    488,656.09x = 732,993.86 × 321,244.21
  4. Step 4: Simplify right side
    488,656.09x = 235,470,033,490.55
  5. Step 5: Solve for x
    x = 235,470,033,490.55/488,656.09
  6. Step 6: Final answer
    x = 481,872.71

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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.