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Finding the Fourth Proportional to 525,704.56, 725,219.40 and 344,338

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Solution

The fourth proportional to 525,704.56, 725,219.40 and 344,338 is: 475,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,704.56 : 725,219.40 = 344,338 : x
  2. Step 2: Convert to fraction form
    525,704.56/725,219.40 = 344,338/x
  3. Step 3: Cross multiply
    525,704.56x = 725,219.40 × 344,338
  4. Step 4: Simplify right side
    525,704.56x = 249,720,597,757.20
  5. Step 5: Solve for x
    x = 249,720,597,757.20/525,704.56
  6. Step 6: Final answer
    x = 475,020.79

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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.