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Finding the Fourth Proportional to 397,955.97, 596,558.70 and 198,087.39

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Solution

The fourth proportional to 397,955.97, 596,558.70 and 198,087.39 is: 296,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,955.97 : 596,558.70 = 198,087.39 : x
  2. Step 2: Convert to fraction form
    397,955.97/596,558.70 = 198,087.39/x
  3. Step 3: Cross multiply
    397,955.97x = 596,558.70 × 198,087.39
  4. Step 4: Simplify right side
    397,955.97x = 118,170,755,864.79
  5. Step 5: Solve for x
    x = 118,170,755,864.79/397,955.97
  6. Step 6: Final answer
    x = 296,944.30

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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.