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Finding the Fourth Proportional to 380,812.56, 571,154.16 and 178,429.68

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Solution

The fourth proportional to 380,812.56, 571,154.16 and 178,429.68 is: 267,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,812.56 : 571,154.16 = 178,429.68 : x
  2. Step 2: Convert to fraction form
    380,812.56/571,154.16 = 178,429.68/x
  3. Step 3: Cross multiply
    380,812.56x = 571,154.16 × 178,429.68
  4. Step 4: Simplify right side
    380,812.56x = 101,910,853,999.47
  5. Step 5: Solve for x
    x = 101,910,853,999.47/380,812.56
  6. Step 6: Final answer
    x = 267,614.21

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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.