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Finding the Fourth Proportional to 259,534.80, 389,359.80 and 119,259.60

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Solution

The fourth proportional to 259,534.80, 389,359.80 and 119,259.60 is: 178,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,534.80 : 389,359.80 = 119,259.60 : x
  2. Step 2: Convert to fraction form
    259,534.80/389,359.80 = 119,259.60/x
  3. Step 3: Cross multiply
    259,534.80x = 389,359.80 × 119,259.60
  4. Step 4: Simplify right side
    259,534.80x = 46,434,894,004.08
  5. Step 5: Solve for x
    x = 46,434,894,004.08/259,534.80
  6. Step 6: Final answer
    x = 178,915.87

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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.