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Finding the Fourth Proportional to 340,974.32, 470,522.81 and 188,013.47

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Solution

The fourth proportional to 340,974.32, 470,522.81 and 188,013.47 is: 259,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,974.32 : 470,522.81 = 188,013.47 : x
  2. Step 2: Convert to fraction form
    340,974.32/470,522.81 = 188,013.47/x
  3. Step 3: Cross multiply
    340,974.32x = 470,522.81 × 188,013.47
  4. Step 4: Simplify right side
    340,974.32x = 88,464,622,929.57
  5. Step 5: Solve for x
    x = 88,464,622,929.57/340,974.32
  6. Step 6: Final answer
    x = 259,446.59

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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.