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Finding the Fourth Proportional to 258,614.93, 356,857.25 and 143,866.45

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Solution

The fourth proportional to 258,614.93, 356,857.25 and 143,866.45 is: 198,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,614.93 : 356,857.25 = 143,866.45 : x
  2. Step 2: Convert to fraction form
    258,614.93/356,857.25 = 143,866.45/x
  3. Step 3: Cross multiply
    258,614.93x = 356,857.25 × 143,866.45
  4. Step 4: Simplify right side
    258,614.93x = 51,339,783,433.68
  5. Step 5: Solve for x
    x = 51,339,783,433.68/258,614.93
  6. Step 6: Final answer
    x = 198,518.25

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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.