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Finding the Fourth Proportional to 510,787.44, 704,918.50 and 281,344.68

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Solution

The fourth proportional to 510,787.44, 704,918.50 and 281,344.68 is: 388,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,787.44 : 704,918.50 = 281,344.68 : x
  2. Step 2: Convert to fraction form
    510,787.44/704,918.50 = 281,344.68/x
  3. Step 3: Cross multiply
    510,787.44x = 704,918.50 × 281,344.68
  4. Step 4: Simplify right side
    510,787.44x = 198,325,069,808.58
  5. Step 5: Solve for x
    x = 198,325,069,808.58/510,787.44
  6. Step 6: Final answer
    x = 388,273.19

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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.