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Finding the Fourth Proportional to 313,701.11, 432,906.02 and 177,734.80

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Solution

The fourth proportional to 313,701.11, 432,906.02 and 177,734.80 is: 245,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,701.11 : 432,906.02 = 177,734.80 : x
  2. Step 2: Convert to fraction form
    313,701.11/432,906.02 = 177,734.80/x
  3. Step 3: Cross multiply
    313,701.11x = 432,906.02 × 177,734.80
  4. Step 4: Simplify right side
    313,701.11x = 76,942,462,718.97
  5. Step 5: Solve for x
    x = 76,942,462,718.97/313,701.11
  6. Step 6: Final answer
    x = 245,273.16

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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.