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Finding the Fourth Proportional to 510,776.52, 704,876.35 and 281,334.64

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Solution

The fourth proportional to 510,776.52, 704,876.35 and 281,334.64 is: 388,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,776.52 : 704,876.35 = 281,334.64 : x
  2. Step 2: Convert to fraction form
    510,776.52/704,876.35 = 281,334.64/x
  3. Step 3: Cross multiply
    510,776.52x = 704,876.35 × 281,334.64
  4. Step 4: Simplify right side
    510,776.52x = 198,306,135,404.53
  5. Step 5: Solve for x
    x = 198,306,135,404.53/510,776.52
  6. Step 6: Final answer
    x = 388,244.42

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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.