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Finding the Fourth Proportional to 472,759.50, 652,408.11 and 257,900.43

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Solution

The fourth proportional to 472,759.50, 652,408.11 and 257,900.43 is: 355,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,759.50 : 652,408.11 = 257,900.43 : x
  2. Step 2: Convert to fraction form
    472,759.50/652,408.11 = 257,900.43/x
  3. Step 3: Cross multiply
    472,759.50x = 652,408.11 × 257,900.43
  4. Step 4: Simplify right side
    472,759.50x = 168,256,332,104.49
  5. Step 5: Solve for x
    x = 168,256,332,104.49/472,759.50
  6. Step 6: Final answer
    x = 355,902.59

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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.