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Finding the Fourth Proportional to 380,507.60, 570,761.08 and 131,170

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Solution

The fourth proportional to 380,507.60, 570,761.08 and 131,170 is: 196,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,507.60 : 570,761.08 = 131,170 : x
  2. Step 2: Convert to fraction form
    380,507.60/570,761.08 = 131,170/x
  3. Step 3: Cross multiply
    380,507.60x = 570,761.08 × 131,170
  4. Step 4: Simplify right side
    380,507.60x = 74,866,730,863.60
  5. Step 5: Solve for x
    x = 74,866,730,863.60/380,507.60
  6. Step 6: Final answer
    x = 196,754.89

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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.