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Finding the Fourth Proportional to 408,032.40, 612,047.67 and 108,513.06

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Solution

The fourth proportional to 408,032.40, 612,047.67 and 108,513.06 is: 162,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.40 : 612,047.67 = 108,513.06 : x
  2. Step 2: Convert to fraction form
    408,032.40/612,047.67 = 108,513.06/x
  3. Step 3: Cross multiply
    408,032.40x = 612,047.67 × 108,513.06
  4. Step 4: Simplify right side
    408,032.40x = 66,415,165,537.57
  5. Step 5: Solve for x
    x = 66,415,165,537.57/408,032.40
  6. Step 6: Final answer
    x = 162,769.34

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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.