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Finding the Fourth Proportional to 385,850.60, 577,998.30 and 259,879.40

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Solution

The fourth proportional to 385,850.60, 577,998.30 and 259,879.40 is: 389,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,850.60 : 577,998.30 = 259,879.40 : x
  2. Step 2: Convert to fraction form
    385,850.60/577,998.30 = 259,879.40/x
  3. Step 3: Cross multiply
    385,850.60x = 577,998.30 × 259,879.40
  4. Step 4: Simplify right side
    385,850.60x = 150,209,851,405.02
  5. Step 5: Solve for x
    x = 150,209,851,405.02/385,850.60
  6. Step 6: Final answer
    x = 389,295.37

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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.