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Finding the Fourth Proportional to 408,020.49, 612,029.66 and 108,501.12

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Solution

The fourth proportional to 408,020.49, 612,029.66 and 108,501.12 is: 162,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020.49 : 612,029.66 = 108,501.12 : x
  2. Step 2: Convert to fraction form
    408,020.49/612,029.66 = 108,501.12/x
  3. Step 3: Cross multiply
    408,020.49x = 612,029.66 × 108,501.12
  4. Step 4: Simplify right side
    408,020.49x = 66,405,903,040.71
  5. Step 5: Solve for x
    x = 66,405,903,040.71/408,020.49
  6. Step 6: Final answer
    x = 162,751.39

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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.