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Finding the Fourth Proportional to 408,645.56, 612,943.43 and 195,564.93

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Solution

The fourth proportional to 408,645.56, 612,943.43 and 195,564.93 is: 293,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,645.56 : 612,943.43 = 195,564.93 : x
  2. Step 2: Convert to fraction form
    408,645.56/612,943.43 = 195,564.93/x
  3. Step 3: Cross multiply
    408,645.56x = 612,943.43 × 195,564.93
  4. Step 4: Simplify right side
    408,645.56x = 119,870,238,004.09
  5. Step 5: Solve for x
    x = 119,870,238,004.09/408,645.56
  6. Step 6: Final answer
    x = 293,335.48

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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.