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Finding the Fourth Proportional to 510,756.44, 704,843.44 and 281,315.28

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Solution

The fourth proportional to 510,756.44, 704,843.44 and 281,315.28 is: 388,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,756.44 : 704,843.44 = 281,315.28 : x
  2. Step 2: Convert to fraction form
    510,756.44/704,843.44 = 281,315.28/x
  3. Step 3: Cross multiply
    510,756.44x = 704,843.44 × 281,315.28
  4. Step 4: Simplify right side
    510,756.44x = 198,283,229,679.76
  5. Step 5: Solve for x
    x = 198,283,229,679.76/510,756.44
  6. Step 6: Final answer
    x = 388,214.84

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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.