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Finding the Fourth Proportional to 380,568.96, 570,906.77 and 155,961.36

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Solution

The fourth proportional to 380,568.96, 570,906.77 and 155,961.36 is: 233,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,568.96 : 570,906.77 = 155,961.36 : x
  2. Step 2: Convert to fraction form
    380,568.96/570,906.77 = 155,961.36/x
  3. Step 3: Cross multiply
    380,568.96x = 570,906.77 × 155,961.36
  4. Step 4: Simplify right side
    380,568.96x = 89,039,395,502.60
  5. Step 5: Solve for x
    x = 89,039,395,502.60/380,568.96
  6. Step 6: Final answer
    x = 233,963.89

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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.