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Finding the Fourth Proportional to 510,281.78, 765,391.91 and 225,889.08

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Solution

The fourth proportional to 510,281.78, 765,391.91 and 225,889.08 is: 338,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,281.78 : 765,391.91 = 225,889.08 : x
  2. Step 2: Convert to fraction form
    510,281.78/765,391.91 = 225,889.08/x
  3. Step 3: Cross multiply
    510,281.78x = 765,391.91 × 225,889.08
  4. Step 4: Simplify right side
    510,281.78x = 172,893,673,177.66
  5. Step 5: Solve for x
    x = 172,893,673,177.66/510,281.78
  6. Step 6: Final answer
    x = 338,820.00

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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.