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Finding the Fourth Proportional to 525,687.80, 725,449.82 and 283,970.38

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Solution

The fourth proportional to 525,687.80, 725,449.82 and 283,970.38 is: 391,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,687.80 : 725,449.82 = 283,970.38 : x
  2. Step 2: Convert to fraction form
    525,687.80/725,449.82 = 283,970.38/x
  3. Step 3: Cross multiply
    525,687.80x = 725,449.82 × 283,970.38
  4. Step 4: Simplify right side
    525,687.80x = 206,006,261,056.33
  5. Step 5: Solve for x
    x = 206,006,261,056.33/525,687.80
  6. Step 6: Final answer
    x = 391,879.48

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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.