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Finding the Fourth Proportional to 342,142.40, 513,213.60 and 325,812.80

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Solution

The fourth proportional to 342,142.40, 513,213.60 and 325,812.80 is: 488,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.40 : 513,213.60 = 325,812.80 : x
  2. Step 2: Convert to fraction form
    342,142.40/513,213.60 = 325,812.80/x
  3. Step 3: Cross multiply
    342,142.40x = 513,213.60 × 325,812.80
  4. Step 4: Simplify right side
    342,142.40x = 167,211,560,014.08
  5. Step 5: Solve for x
    x = 167,211,560,014.08/342,142.40
  6. Step 6: Final answer
    x = 488,719.20

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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.