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Finding the Fourth Proportional to 510,876.91, 705,010.14 and 284,522.41

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Solution

The fourth proportional to 510,876.91, 705,010.14 and 284,522.41 is: 392,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,876.91 : 705,010.14 = 284,522.41 : x
  2. Step 2: Convert to fraction form
    510,876.91/705,010.14 = 284,522.41/x
  3. Step 3: Cross multiply
    510,876.91x = 705,010.14 × 284,522.41
  4. Step 4: Simplify right side
    510,876.91x = 200,591,184,107.24
  5. Step 5: Solve for x
    x = 200,591,184,107.24/510,876.91
  6. Step 6: Final answer
    x = 392,640.93

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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.