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Finding the Fourth Proportional to 468,087.49, 645,755.21 and 274,397.05

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Solution

The fourth proportional to 468,087.49, 645,755.21 and 274,397.05 is: 378,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,087.49 : 645,755.21 = 274,397.05 : x
  2. Step 2: Convert to fraction form
    468,087.49/645,755.21 = 274,397.05/x
  3. Step 3: Cross multiply
    468,087.49x = 645,755.21 × 274,397.05
  4. Step 4: Simplify right side
    468,087.49x = 177,193,321,659.76
  5. Step 5: Solve for x
    x = 177,193,321,659.76/468,087.49
  6. Step 6: Final answer
    x = 378,547.44

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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.