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Finding the Fourth Proportional to 510,144.36, 703,999.89 and 283,789.86

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Solution

The fourth proportional to 510,144.36, 703,999.89 and 283,789.86 is: 391,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,144.36 : 703,999.89 = 283,789.86 : x
  2. Step 2: Convert to fraction form
    510,144.36/703,999.89 = 283,789.86/x
  3. Step 3: Cross multiply
    510,144.36x = 703,999.89 × 283,789.86
  4. Step 4: Simplify right side
    510,144.36x = 199,788,030,223.12
  5. Step 5: Solve for x
    x = 199,788,030,223.12/510,144.36
  6. Step 6: Final answer
    x = 391,630.38

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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.