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Finding the Fourth Proportional to 510,747.96, 704,825.52 and 281,300.88

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Solution

The fourth proportional to 510,747.96, 704,825.52 and 281,300.88 is: 388,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,747.96 : 704,825.52 = 281,300.88 : x
  2. Step 2: Convert to fraction form
    510,747.96/704,825.52 = 281,300.88/x
  3. Step 3: Cross multiply
    510,747.96x = 704,825.52 × 281,300.88
  4. Step 4: Simplify right side
    510,747.96x = 198,268,039,022.46
  5. Step 5: Solve for x
    x = 198,268,039,022.46/510,747.96
  6. Step 6: Final answer
    x = 388,191.54

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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.