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Finding the Fourth Proportional to 258,901.64, 388,222.58 and 150,866

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Solution

The fourth proportional to 258,901.64, 388,222.58 and 150,866 is: 226,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,901.64 : 388,222.58 = 150,866 : x
  2. Step 2: Convert to fraction form
    258,901.64/388,222.58 = 150,866/x
  3. Step 3: Cross multiply
    258,901.64x = 388,222.58 × 150,866
  4. Step 4: Simplify right side
    258,901.64x = 58,569,587,754.28
  5. Step 5: Solve for x
    x = 58,569,587,754.28/258,901.64
  6. Step 6: Final answer
    x = 226,223.32

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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.