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Finding the Fourth Proportional to 510,863.14, 705,012.99 and 284,508.64

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Solution

The fourth proportional to 510,863.14, 705,012.99 and 284,508.64 is: 392,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,863.14 : 705,012.99 = 284,508.64 : x
  2. Step 2: Convert to fraction form
    510,863.14/705,012.99 = 284,508.64/x
  3. Step 3: Cross multiply
    510,863.14x = 705,012.99 × 284,508.64
  4. Step 4: Simplify right side
    510,863.14x = 200,582,286,967.23
  5. Step 5: Solve for x
    x = 200,582,286,967.23/510,863.14
  6. Step 6: Final answer
    x = 392,634.10

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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.