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Finding the Fourth Proportional to 488,369.40, 731,970.90 and 204,059.40

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Solution

The fourth proportional to 488,369.40, 731,970.90 and 204,059.40 is: 305,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,369.40 : 731,970.90 = 204,059.40 : x
  2. Step 2: Convert to fraction form
    488,369.40/731,970.90 = 204,059.40/x
  3. Step 3: Cross multiply
    488,369.40x = 731,970.90 × 204,059.40
  4. Step 4: Simplify right side
    488,369.40x = 149,365,542,671.46
  5. Step 5: Solve for x
    x = 149,365,542,671.46/488,369.40
  6. Step 6: Final answer
    x = 305,845.42

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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.