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Finding the Fourth Proportional to 393,912.96, 590,942.88 and 127,649.76

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Solution

The fourth proportional to 393,912.96, 590,942.88 and 127,649.76 is: 191,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,912.96 : 590,942.88 = 127,649.76 : x
  2. Step 2: Convert to fraction form
    393,912.96/590,942.88 = 127,649.76/x
  3. Step 3: Cross multiply
    393,912.96x = 590,942.88 × 127,649.76
  4. Step 4: Simplify right side
    393,912.96x = 75,433,716,805.71
  5. Step 5: Solve for x
    x = 75,433,716,805.71/393,912.96
  6. Step 6: Final answer
    x = 191,498.44

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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.