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Finding the Fourth Proportional to 510,876.92, 705,010.16 and 284,522.40

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Solution

The fourth proportional to 510,876.92, 705,010.16 and 284,522.40 is: 392,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,876.92 : 705,010.16 = 284,522.40 : x
  2. Step 2: Convert to fraction form
    510,876.92/705,010.16 = 284,522.40/x
  3. Step 3: Cross multiply
    510,876.92x = 705,010.16 × 284,522.40
  4. Step 4: Simplify right side
    510,876.92x = 200,591,182,747.58
  5. Step 5: Solve for x
    x = 200,591,182,747.58/510,876.92
  6. Step 6: Final answer
    x = 392,640.92

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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.