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Finding the Fourth Proportional to 258,521.43, 356,781.11 and 143,821.68

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Solution

The fourth proportional to 258,521.43, 356,781.11 and 143,821.68 is: 198,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,521.43 : 356,781.11 = 143,821.68 : x
  2. Step 2: Convert to fraction form
    258,521.43/356,781.11 = 143,821.68/x
  3. Step 3: Cross multiply
    258,521.43x = 356,781.11 × 143,821.68
  4. Step 4: Simplify right side
    258,521.43x = 51,312,857,940.61
  5. Step 5: Solve for x
    x = 51,312,857,940.61/258,521.43
  6. Step 6: Final answer
    x = 198,485.90

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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.