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Finding the Fourth Proportional to 328,645.20, 492,627.60 and 178,568.40

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Solution

The fourth proportional to 328,645.20, 492,627.60 and 178,568.40 is: 267,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,645.20 : 492,627.60 = 178,568.40 : x
  2. Step 2: Convert to fraction form
    328,645.20/492,627.60 = 178,568.40/x
  3. Step 3: Cross multiply
    328,645.20x = 492,627.60 × 178,568.40
  4. Step 4: Simplify right side
    328,645.20x = 87,967,722,327.84
  5. Step 5: Solve for x
    x = 87,967,722,327.84/328,645.20
  6. Step 6: Final answer
    x = 267,667.75

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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.