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Finding the Fourth Proportional to 488,388.40, 731,999.40 and 204,078.40

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Solution

The fourth proportional to 488,388.40, 731,999.40 and 204,078.40 is: 305,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,388.40 : 731,999.40 = 204,078.40 : x
  2. Step 2: Convert to fraction form
    488,388.40/731,999.40 = 204,078.40/x
  3. Step 3: Cross multiply
    488,388.40x = 731,999.40 × 204,078.40
  4. Step 4: Simplify right side
    488,388.40x = 149,385,266,352.96
  5. Step 5: Solve for x
    x = 149,385,266,352.96/488,388.40
  6. Step 6: Final answer
    x = 305,873.90

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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.