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Finding the Fourth Proportional to 342,014.80, 513,022.20 and 325,685.20

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Solution

The fourth proportional to 342,014.80, 513,022.20 and 325,685.20 is: 488,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,014.80 : 513,022.20 = 325,685.20 : x
  2. Step 2: Convert to fraction form
    342,014.80/513,022.20 = 325,685.20/x
  3. Step 3: Cross multiply
    342,014.80x = 513,022.20 × 325,685.20
  4. Step 4: Simplify right side
    342,014.80x = 167,083,737,811.44
  5. Step 5: Solve for x
    x = 167,083,737,811.44/342,014.80
  6. Step 6: Final answer
    x = 488,527.80

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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.