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Finding the Fourth Proportional to 510,873.75, 705,027.65 and 284,519.25

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Solution

The fourth proportional to 510,873.75, 705,027.65 and 284,519.25 is: 392,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,873.75 : 705,027.65 = 284,519.25 : x
  2. Step 2: Convert to fraction form
    510,873.75/705,027.65 = 284,519.25/x
  3. Step 3: Cross multiply
    510,873.75x = 705,027.65 × 284,519.25
  4. Step 4: Simplify right side
    510,873.75x = 200,593,936,784.67
  5. Step 5: Solve for x
    x = 200,593,936,784.67/510,873.75
  6. Step 6: Final answer
    x = 392,648.74

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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.