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Finding the Fourth Proportional to 258,420.78, 356,540.54 and 150,913.26

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Solution

The fourth proportional to 258,420.78, 356,540.54 and 150,913.26 is: 208,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,420.78 : 356,540.54 = 150,913.26 : x
  2. Step 2: Convert to fraction form
    258,420.78/356,540.54 = 150,913.26/x
  3. Step 3: Cross multiply
    258,420.78x = 356,540.54 × 150,913.26
  4. Step 4: Simplify right side
    258,420.78x = 53,806,694,458.99
  5. Step 5: Solve for x
    x = 53,806,694,458.99/258,420.78
  6. Step 6: Final answer
    x = 208,213.50

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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.