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Finding the Fourth Proportional to 510,828.13, 765,553.29 and 258,286.78

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Solution

The fourth proportional to 510,828.13, 765,553.29 and 258,286.78 is: 387,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,828.13 : 765,553.29 = 258,286.78 : x
  2. Step 2: Convert to fraction form
    510,828.13/765,553.29 = 258,286.78/x
  3. Step 3: Cross multiply
    510,828.13x = 765,553.29 × 258,286.78
  4. Step 4: Simplify right side
    510,828.13x = 197,732,294,192.51
  5. Step 5: Solve for x
    x = 197,732,294,192.51/510,828.13
  6. Step 6: Final answer
    x = 387,081.84

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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.