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Finding the Fourth Proportional to 510,234.78, 765,524.30 and 225,886.08

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Solution

The fourth proportional to 510,234.78, 765,524.30 and 225,886.08 is: 338,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,234.78 : 765,524.30 = 225,886.08 : x
  2. Step 2: Convert to fraction form
    510,234.78/765,524.30 = 225,886.08/x
  3. Step 3: Cross multiply
    510,234.78x = 765,524.30 × 225,886.08
  4. Step 4: Simplify right side
    510,234.78x = 172,921,282,142.31
  5. Step 5: Solve for x
    x = 172,921,282,142.31/510,234.78
  6. Step 6: Final answer
    x = 338,905.32

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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.