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Finding the Fourth Proportional to 380,717.73, 570,672.75 and 178,143.16

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Solution

The fourth proportional to 380,717.73, 570,672.75 and 178,143.16 is: 267,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,717.73 : 570,672.75 = 178,143.16 : x
  2. Step 2: Convert to fraction form
    380,717.73/570,672.75 = 178,143.16/x
  3. Step 3: Cross multiply
    380,717.73x = 570,672.75 × 178,143.16
  4. Step 4: Simplify right side
    380,717.73x = 101,661,447,010.89
  5. Step 5: Solve for x
    x = 101,661,447,010.89/380,717.73
  6. Step 6: Final answer
    x = 267,025.78

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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.