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Finding the Fourth Proportional to 407,105, 561,805.14 and 248,129

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Solution

The fourth proportional to 407,105, 561,805.14 and 248,129 is: 342,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,105 : 561,805.14 = 248,129 : x
  2. Step 2: Convert to fraction form
    407,105/561,805.14 = 248,129/x
  3. Step 3: Cross multiply
    407,105x = 561,805.14 × 248,129
  4. Step 4: Simplify right side
    407,105x = 139,400,147,583.06
  5. Step 5: Solve for x
    x = 139,400,147,583.06/407,105
  6. Step 6: Final answer
    x = 342,418.17

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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.