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Finding the Fourth Proportional to 258,830.29, 388,187.11 and 100,977.49

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Solution

The fourth proportional to 258,830.29, 388,187.11 and 100,977.49 is: 151,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,830.29 : 388,187.11 = 100,977.49 : x
  2. Step 2: Convert to fraction form
    258,830.29/388,187.11 = 100,977.49/x
  3. Step 3: Cross multiply
    258,830.29x = 388,187.11 × 100,977.49
  4. Step 4: Simplify right side
    258,830.29x = 39,198,160,018.15
  5. Step 5: Solve for x
    x = 39,198,160,018.15/258,830.29
  6. Step 6: Final answer
    x = 151,443.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.