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Finding the Fourth Proportional to 525,658.28, 725,408.31 and 283,940.85

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Solution

The fourth proportional to 525,658.28, 725,408.31 and 283,940.85 is: 391,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,658.28 : 725,408.31 = 283,940.85 : x
  2. Step 2: Convert to fraction form
    525,658.28/725,408.31 = 283,940.85/x
  3. Step 3: Cross multiply
    525,658.28x = 725,408.31 × 283,940.85
  4. Step 4: Simplify right side
    525,658.28x = 205,973,055,923.52
  5. Step 5: Solve for x
    x = 205,973,055,923.52/525,658.28
  6. Step 6: Final answer
    x = 391,838.32

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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.