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Finding the Fourth Proportional to 510,836.40, 766,335.60 and 173,908.80

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Solution

The fourth proportional to 510,836.40, 766,335.60 and 173,908.80 is: 260,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,836.40 : 766,335.60 = 173,908.80 : x
  2. Step 2: Convert to fraction form
    510,836.40/766,335.60 = 173,908.80/x
  3. Step 3: Cross multiply
    510,836.40x = 766,335.60 × 173,908.80
  4. Step 4: Simplify right side
    510,836.40x = 133,272,504,593.28
  5. Step 5: Solve for x
    x = 133,272,504,593.28/510,836.40
  6. Step 6: Final answer
    x = 260,890.78

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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.