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Finding the Fourth Proportional to 340,758.36, 470,249.74 and 187,802.12

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Solution

The fourth proportional to 340,758.36, 470,249.74 and 187,802.12 is: 259,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,758.36 : 470,249.74 = 187,802.12 : x
  2. Step 2: Convert to fraction form
    340,758.36/470,249.74 = 187,802.12/x
  3. Step 3: Cross multiply
    340,758.36x = 470,249.74 × 187,802.12
  4. Step 4: Simplify right side
    340,758.36x = 88,313,898,101.45
  5. Step 5: Solve for x
    x = 88,313,898,101.45/340,758.36
  6. Step 6: Final answer
    x = 259,168.69

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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.