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Finding the Fourth Proportional to 431,626.16, 647,439.23 and 182,310.32

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Solution

The fourth proportional to 431,626.16, 647,439.23 and 182,310.32 is: 273,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,626.16 : 647,439.23 = 182,310.32 : x
  2. Step 2: Convert to fraction form
    431,626.16/647,439.23 = 182,310.32/x
  3. Step 3: Cross multiply
    431,626.16x = 647,439.23 × 182,310.32
  4. Step 4: Simplify right side
    431,626.16x = 118,034,850,420.43
  5. Step 5: Solve for x
    x = 118,034,850,420.43/431,626.16
  6. Step 6: Final answer
    x = 273,465.47

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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.