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Finding the Fourth Proportional to 258,121.76, 356,233.41 and 149,230.80

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Solution

The fourth proportional to 258,121.76, 356,233.41 and 149,230.80 is: 205,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,121.76 : 356,233.41 = 149,230.80 : x
  2. Step 2: Convert to fraction form
    258,121.76/356,233.41 = 149,230.80/x
  3. Step 3: Cross multiply
    258,121.76x = 356,233.41 × 149,230.80
  4. Step 4: Simplify right side
    258,121.76x = 53,160,996,761.03
  5. Step 5: Solve for x
    x = 53,160,996,761.03/258,121.76
  6. Step 6: Final answer
    x = 205,953.18

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1.5x scale

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.