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Finding the Fourth Proportional to 300,063.40, 414,126.66 and 172,744.36

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Solution

The fourth proportional to 300,063.40, 414,126.66 and 172,744.36 is: 238,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,063.40 : 414,126.66 = 172,744.36 : x
  2. Step 2: Convert to fraction form
    300,063.40/414,126.66 = 172,744.36/x
  3. Step 3: Cross multiply
    300,063.40x = 414,126.66 × 172,744.36
  4. Step 4: Simplify right side
    300,063.40x = 71,538,044,840.64
  5. Step 5: Solve for x
    x = 71,538,044,840.64/300,063.40
  6. Step 6: Final answer
    x = 238,409.77

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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.