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Finding the Fourth Proportional to 525,715.56, 725,486.76 and 299,361.06

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Solution

The fourth proportional to 525,715.56, 725,486.76 and 299,361.06 is: 413,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,715.56 : 725,486.76 = 299,361.06 : x
  2. Step 2: Convert to fraction form
    525,715.56/725,486.76 = 299,361.06/x
  3. Step 3: Cross multiply
    525,715.56x = 725,486.76 × 299,361.06
  4. Step 4: Simplify right side
    525,715.56x = 217,182,485,489.57
  5. Step 5: Solve for x
    x = 217,182,485,489.57/525,715.56
  6. Step 6: Final answer
    x = 413,117.86

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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.