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Finding the Fourth Proportional to 380,691.91, 570,975.90 and 143,978.32

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Solution

The fourth proportional to 380,691.91, 570,975.90 and 143,978.32 is: 215,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,691.91 : 570,975.90 = 143,978.32 : x
  2. Step 2: Convert to fraction form
    380,691.91/570,975.90 = 143,978.32/x
  3. Step 3: Cross multiply
    380,691.91x = 570,975.90 × 143,978.32
  4. Step 4: Simplify right side
    380,691.91x = 82,208,150,842.49
  5. Step 5: Solve for x
    x = 82,208,150,842.49/380,691.91
  6. Step 6: Final answer
    x = 215,944.04

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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.