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Finding the Fourth Proportional to 510,188.40, 765,363.60 and 173,260.80

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Solution

The fourth proportional to 510,188.40, 765,363.60 and 173,260.80 is: 259,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,188.40 : 765,363.60 = 173,260.80 : x
  2. Step 2: Convert to fraction form
    510,188.40/765,363.60 = 173,260.80/x
  3. Step 3: Cross multiply
    510,188.40x = 765,363.60 × 173,260.80
  4. Step 4: Simplify right side
    510,188.40x = 132,607,509,626.88
  5. Step 5: Solve for x
    x = 132,607,509,626.88/510,188.40
  6. Step 6: Final answer
    x = 259,918.71

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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.