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Finding the Fourth Proportional to 525,803.25, 725,608.50 and 299,469.81

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Solution

The fourth proportional to 525,803.25, 725,608.50 and 299,469.81 is: 413,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,803.25 : 725,608.50 = 299,469.81 : x
  2. Step 2: Convert to fraction form
    525,803.25/725,608.50 = 299,469.81/x
  3. Step 3: Cross multiply
    525,803.25x = 725,608.50 × 299,469.81
  4. Step 4: Simplify right side
    525,803.25x = 217,297,839,629.39
  5. Step 5: Solve for x
    x = 217,297,839,629.39/525,803.25
  6. Step 6: Final answer
    x = 413,268.35

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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.