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Finding the Fourth Proportional to 510,755.92, 704,836.54 and 281,308.84

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Solution

The fourth proportional to 510,755.92, 704,836.54 and 281,308.84 is: 388,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,755.92 : 704,836.54 = 281,308.84 : x
  2. Step 2: Convert to fraction form
    510,755.92/704,836.54 = 281,308.84/x
  3. Step 3: Cross multiply
    510,755.92x = 704,836.54 × 281,308.84
  4. Step 4: Simplify right side
    510,755.92x = 198,276,749,457.01
  5. Step 5: Solve for x
    x = 198,276,749,457.01/510,755.92
  6. Step 6: Final answer
    x = 388,202.55

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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.