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Finding the Fourth Proportional to 510,478.70, 765,539.54 and 150,554.09

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Solution

The fourth proportional to 510,478.70, 765,539.54 and 150,554.09 is: 225,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,478.70 : 765,539.54 = 150,554.09 : x
  2. Step 2: Convert to fraction form
    510,478.70/765,539.54 = 150,554.09/x
  3. Step 3: Cross multiply
    510,478.70x = 765,539.54 × 150,554.09
  4. Step 4: Simplify right side
    510,478.70x = 115,255,104,976.02
  5. Step 5: Solve for x
    x = 115,255,104,976.02/510,478.70
  6. Step 6: Final answer
    x = 225,778.48

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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.