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Finding the Fourth Proportional to 510,872.91, 705,004.63 and 284,518.41

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Solution

The fourth proportional to 510,872.91, 705,004.63 and 284,518.41 is: 392,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,872.91 : 705,004.63 = 284,518.41 : x
  2. Step 2: Convert to fraction form
    510,872.91/705,004.63 = 284,518.41/x
  3. Step 3: Cross multiply
    510,872.91x = 705,004.63 × 284,518.41
  4. Step 4: Simplify right side
    510,872.91x = 200,586,793,015.18
  5. Step 5: Solve for x
    x = 200,586,793,015.18/510,872.91
  6. Step 6: Final answer
    x = 392,635.41

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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.