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Finding the Fourth Proportional to 491,109.60, 735,627.60 and 408,165.60

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Solution

The fourth proportional to 491,109.60, 735,627.60 and 408,165.60 is: 611,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,109.60 : 735,627.60 = 408,165.60 : x
  2. Step 2: Convert to fraction form
    491,109.60/735,627.60 = 408,165.60/x
  3. Step 3: Cross multiply
    491,109.60x = 735,627.60 × 408,165.60
  4. Step 4: Simplify right side
    491,109.60x = 300,257,880,730.56
  5. Step 5: Solve for x
    x = 300,257,880,730.56/491,109.60
  6. Step 6: Final answer
    x = 611,386.71

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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.