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Finding the Fourth Proportional to 340,636.53, 470,055.92 and 204,589.64

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Solution

The fourth proportional to 340,636.53, 470,055.92 and 204,589.64 is: 282,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,636.53 : 470,055.92 = 204,589.64 : x
  2. Step 2: Convert to fraction form
    340,636.53/470,055.92 = 204,589.64/x
  3. Step 3: Cross multiply
    340,636.53x = 470,055.92 × 204,589.64
  4. Step 4: Simplify right side
    340,636.53x = 96,168,568,079.44
  5. Step 5: Solve for x
    x = 96,168,568,079.44/340,636.53
  6. Step 6: Final answer
    x = 282,320.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.