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Finding the Fourth Proportional to 313,944.78, 470,917.18 and 92,328.78

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Solution

The fourth proportional to 313,944.78, 470,917.18 and 92,328.78 is: 138,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,944.78 : 470,917.18 = 92,328.78 : x
  2. Step 2: Convert to fraction form
    313,944.78/470,917.18 = 92,328.78/x
  3. Step 3: Cross multiply
    313,944.78x = 470,917.18 × 92,328.78
  4. Step 4: Simplify right side
    313,944.78x = 43,479,208,710.44
  5. Step 5: Solve for x
    x = 43,479,208,710.44/313,944.78
  6. Step 6: Final answer
    x = 138,493.17

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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.