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Finding the Fourth Proportional to 510,220.49, 765,502.92 and 225,871.79

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Solution

The fourth proportional to 510,220.49, 765,502.92 and 225,871.79 is: 338,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,220.49 : 765,502.92 = 225,871.79 : x
  2. Step 2: Convert to fraction form
    510,220.49/765,502.92 = 225,871.79/x
  3. Step 3: Cross multiply
    510,220.49x = 765,502.92 × 225,871.79
  4. Step 4: Simplify right side
    510,220.49x = 172,905,510,963.11
  5. Step 5: Solve for x
    x = 172,905,510,963.11/510,220.49
  6. Step 6: Final answer
    x = 338,883.91

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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.