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Finding the Fourth Proportional to 613,201.50, 919,854.09 and 169,969.50

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Solution

The fourth proportional to 613,201.50, 919,854.09 and 169,969.50 is: 254,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,201.50 : 919,854.09 = 169,969.50 : x
  2. Step 2: Convert to fraction form
    613,201.50/919,854.09 = 169,969.50/x
  3. Step 3: Cross multiply
    613,201.50x = 919,854.09 × 169,969.50
  4. Step 4: Simplify right side
    613,201.50x = 156,347,139,750.26
  5. Step 5: Solve for x
    x = 156,347,139,750.26/613,201.50
  6. Step 6: Final answer
    x = 254,968.62

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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.