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Finding the Fourth Proportional to 498,756.49, 748,239.92 and 161,770.97

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Solution

The fourth proportional to 498,756.49, 748,239.92 and 161,770.97 is: 242,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,756.49 : 748,239.92 = 161,770.97 : x
  2. Step 2: Convert to fraction form
    498,756.49/748,239.92 = 161,770.97/x
  3. Step 3: Cross multiply
    498,756.49x = 748,239.92 × 161,770.97
  4. Step 4: Simplify right side
    498,756.49x = 121,043,494,409.18
  5. Step 5: Solve for x
    x = 121,043,494,409.18/498,756.49
  6. Step 6: Final answer
    x = 242,690.57

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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.