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Finding the Fourth Proportional to 510,873.42, 704,996.96 and 281,452.53

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Solution

The fourth proportional to 510,873.42, 704,996.96 and 281,452.53 is: 388,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,873.42 : 704,996.96 = 281,452.53 : x
  2. Step 2: Convert to fraction form
    510,873.42/704,996.96 = 281,452.53/x
  3. Step 3: Cross multiply
    510,873.42x = 704,996.96 × 281,452.53
  4. Step 4: Simplify right side
    510,873.42x = 198,423,176,627.05
  5. Step 5: Solve for x
    x = 198,423,176,627.05/510,873.42
  6. Step 6: Final answer
    x = 388,399.88

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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.