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Finding the Fourth Proportional to 525,989.06, 725,687.61 and 299,474.18

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Solution

The fourth proportional to 525,989.06, 725,687.61 and 299,474.18 is: 413,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,989.06 : 725,687.61 = 299,474.18 : x
  2. Step 2: Convert to fraction form
    525,989.06/725,687.61 = 299,474.18/x
  3. Step 3: Cross multiply
    525,989.06x = 725,687.61 × 299,474.18
  4. Step 4: Simplify right side
    525,989.06x = 217,324,701,940.91
  5. Step 5: Solve for x
    x = 217,324,701,940.91/525,989.06
  6. Step 6: Final answer
    x = 413,173.43

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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.