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Finding the Fourth Proportional to 510,444.75, 765,608.75 and 136,496.91

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Solution

The fourth proportional to 510,444.75, 765,608.75 and 136,496.91 is: 204,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,444.75 : 765,608.75 = 136,496.91 : x
  2. Step 2: Convert to fraction form
    510,444.75/765,608.75 = 136,496.91/x
  3. Step 3: Cross multiply
    510,444.75x = 765,608.75 × 136,496.91
  4. Step 4: Simplify right side
    510,444.75x = 104,503,227,961.48
  5. Step 5: Solve for x
    x = 104,503,227,961.48/510,444.75
  6. Step 6: Final answer
    x = 204,729.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.