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Finding the Fourth Proportional to 342,072.80, 513,109.20 and 325,743.20

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Solution

The fourth proportional to 342,072.80, 513,109.20 and 325,743.20 is: 488,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072.80 : 513,109.20 = 325,743.20 : x
  2. Step 2: Convert to fraction form
    342,072.80/513,109.20 = 325,743.20/x
  3. Step 3: Cross multiply
    342,072.80x = 513,109.20 × 325,743.20
  4. Step 4: Simplify right side
    342,072.80x = 167,141,832,757.44
  5. Step 5: Solve for x
    x = 167,141,832,757.44/342,072.80
  6. Step 6: Final answer
    x = 488,614.80

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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.