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Finding the Fourth Proportional to 525,885.05, 725,721.09 and 284,167.56

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Solution

The fourth proportional to 525,885.05, 725,721.09 and 284,167.56 is: 392,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,885.05 : 725,721.09 = 284,167.56 : x
  2. Step 2: Convert to fraction form
    525,885.05/725,721.09 = 284,167.56/x
  3. Step 3: Cross multiply
    525,885.05x = 725,721.09 × 284,167.56
  4. Step 4: Simplify right side
    525,885.05x = 206,226,392,887.97
  5. Step 5: Solve for x
    x = 206,226,392,887.97/525,885.05
  6. Step 6: Final answer
    x = 392,151.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.