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Finding the Fourth Proportional to 323,351.40, 446,190.84 and 187,428

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Solution

The fourth proportional to 323,351.40, 446,190.84 and 187,428 is: 258,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,351.40 : 446,190.84 = 187,428 : x
  2. Step 2: Convert to fraction form
    323,351.40/446,190.84 = 187,428/x
  3. Step 3: Cross multiply
    323,351.40x = 446,190.84 × 187,428
  4. Step 4: Simplify right side
    323,351.40x = 83,628,656,759.52
  5. Step 5: Solve for x
    x = 83,628,656,759.52/323,351.40
  6. Step 6: Final answer
    x = 258,630.88

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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.