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Finding the Fourth Proportional to 510,489, 704,474.82 and 284,129.64

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Solution

The fourth proportional to 510,489, 704,474.82 and 284,129.64 is: 392,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,489 : 704,474.82 = 284,129.64 : x
  2. Step 2: Convert to fraction form
    510,489/704,474.82 = 284,129.64/x
  3. Step 3: Cross multiply
    510,489x = 704,474.82 × 284,129.64
  4. Step 4: Simplify right side
    510,489x = 200,162,176,995.67
  5. Step 5: Solve for x
    x = 200,162,176,995.67/510,489
  6. Step 6: Final answer
    x = 392,098.90

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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.