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Finding the Fourth Proportional to 380,535.60, 570,830.76 and 131,214

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Solution

The fourth proportional to 380,535.60, 570,830.76 and 131,214 is: 196,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,535.60 : 570,830.76 = 131,214 : x
  2. Step 2: Convert to fraction form
    380,535.60/570,830.76 = 131,214/x
  3. Step 3: Cross multiply
    380,535.60x = 570,830.76 × 131,214
  4. Step 4: Simplify right side
    380,535.60x = 74,900,987,342.64
  5. Step 5: Solve for x
    x = 74,900,987,342.64/380,535.60
  6. Step 6: Final answer
    x = 196,830.43

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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.