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Finding the Fourth Proportional to 510,634.64, 704,676.84 and 284,288.24

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Solution

The fourth proportional to 510,634.64, 704,676.84 and 284,288.24 is: 392,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,634.64 : 704,676.84 = 284,288.24 : x
  2. Step 2: Convert to fraction form
    510,634.64/704,676.84 = 284,288.24/x
  3. Step 3: Cross multiply
    510,634.64x = 704,676.84 × 284,288.24
  4. Step 4: Simplify right side
    510,634.64x = 200,331,338,612.36
  5. Step 5: Solve for x
    x = 200,331,338,612.36/510,634.64
  6. Step 6: Final answer
    x = 392,318.35

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1.5x scale

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.