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Finding the Fourth Proportional to 510,429.75, 765,586.26 and 136,481.91

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Solution

The fourth proportional to 510,429.75, 765,586.26 and 136,481.91 is: 204,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,429.75 : 765,586.26 = 136,481.91 : x
  2. Step 2: Convert to fraction form
    510,429.75/765,586.26 = 136,481.91/x
  3. Step 3: Cross multiply
    510,429.75x = 765,586.26 × 136,481.91
  4. Step 4: Simplify right side
    510,429.75x = 104,488,677,905.51
  5. Step 5: Solve for x
    x = 104,488,677,905.51/510,429.75
  6. Step 6: Final answer
    x = 204,707.26

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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.