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Finding the Fourth Proportional to 259,693.60, 389,321.70 and 135,034.60

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Solution

The fourth proportional to 259,693.60, 389,321.70 and 135,034.60 is: 202,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,693.60 : 389,321.70 = 135,034.60 : x
  2. Step 2: Convert to fraction form
    259,693.60/389,321.70 = 135,034.60/x
  3. Step 3: Cross multiply
    259,693.60x = 389,321.70 × 135,034.60
  4. Step 4: Simplify right side
    259,693.60x = 52,571,900,030.82
  5. Step 5: Solve for x
    x = 52,571,900,030.82/259,693.60
  6. Step 6: Final answer
    x = 202,438.18

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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.