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Finding the Fourth Proportional to 307,812.80, 461,719.20 and 272,561.60

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Solution

The fourth proportional to 307,812.80, 461,719.20 and 272,561.60 is: 408,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812.80 : 461,719.20 = 272,561.60 : x
  2. Step 2: Convert to fraction form
    307,812.80/461,719.20 = 272,561.60/x
  3. Step 3: Cross multiply
    307,812.80x = 461,719.20 × 272,561.60
  4. Step 4: Simplify right side
    307,812.80x = 125,846,923,902.72
  5. Step 5: Solve for x
    x = 125,846,923,902.72/307,812.80
  6. Step 6: Final answer
    x = 408,842.40

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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.