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Finding the Fourth Proportional to 315,771.20, 474,823.20 and 264,449.60

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Solution

The fourth proportional to 315,771.20, 474,823.20 and 264,449.60 is: 397,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,771.20 : 474,823.20 = 264,449.60 : x
  2. Step 2: Convert to fraction form
    315,771.20/474,823.20 = 264,449.60/x
  3. Step 3: Cross multiply
    315,771.20x = 474,823.20 × 264,449.60
  4. Step 4: Simplify right side
    315,771.20x = 125,566,805,310.72
  5. Step 5: Solve for x
    x = 125,566,805,310.72/315,771.20
  6. Step 6: Final answer
    x = 397,651.23

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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.