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Finding the Fourth Proportional to 525,710.50, 725,481.13 and 283,993.06

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Solution

The fourth proportional to 525,710.50, 725,481.13 and 283,993.06 is: 391,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,710.50 : 725,481.13 = 283,993.06 : x
  2. Step 2: Convert to fraction form
    525,710.50/725,481.13 = 283,993.06/x
  3. Step 3: Cross multiply
    525,710.50x = 725,481.13 × 283,993.06
  4. Step 4: Simplify right side
    525,710.50x = 206,031,606,080.96
  5. Step 5: Solve for x
    x = 206,031,606,080.96/525,710.50
  6. Step 6: Final answer
    x = 391,910.77

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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.