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Finding the Fourth Proportional to 412,072.96, 618,009.54 and 112,554.94

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Solution

The fourth proportional to 412,072.96, 618,009.54 and 112,554.94 is: 168,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,072.96 : 618,009.54 = 112,554.94 : x
  2. Step 2: Convert to fraction form
    412,072.96/618,009.54 = 112,554.94/x
  3. Step 3: Cross multiply
    412,072.96x = 618,009.54 × 112,554.94
  4. Step 4: Simplify right side
    412,072.96x = 69,560,026,694.13
  5. Step 5: Solve for x
    x = 69,560,026,694.13/412,072.96
  6. Step 6: Final answer
    x = 168,805.12

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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.