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Finding the Fourth Proportional to 312,953.50, 431,871.74 and 169,712.80

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Solution

The fourth proportional to 312,953.50, 431,871.74 and 169,712.80 is: 234,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,953.50 : 431,871.74 = 169,712.80 : x
  2. Step 2: Convert to fraction form
    312,953.50/431,871.74 = 169,712.80/x
  3. Step 3: Cross multiply
    312,953.50x = 431,871.74 × 169,712.80
  4. Step 4: Simplify right side
    312,953.50x = 73,294,162,236.27
  5. Step 5: Solve for x
    x = 73,294,162,236.27/312,953.50
  6. Step 6: Final answer
    x = 234,201.45

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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.