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Finding the Fourth Proportional to 380,593.62, 570,944.16 and 155,986.56

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Solution

The fourth proportional to 380,593.62, 570,944.16 and 155,986.56 is: 234,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,593.62 : 570,944.16 = 155,986.56 : x
  2. Step 2: Convert to fraction form
    380,593.62/570,944.16 = 155,986.56/x
  3. Step 3: Cross multiply
    380,593.62x = 570,944.16 × 155,986.56
  4. Step 4: Simplify right side
    380,593.62x = 89,059,615,470.49
  5. Step 5: Solve for x
    x = 89,059,615,470.49/380,593.62
  6. Step 6: Final answer
    x = 234,001.86

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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.