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Finding the Fourth Proportional to 258,016, 387,048.46 and 100,256.64

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Solution

The fourth proportional to 258,016, 387,048.46 and 100,256.64 is: 150,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,016 : 387,048.46 = 100,256.64 : x
  2. Step 2: Convert to fraction form
    258,016/387,048.46 = 100,256.64/x
  3. Step 3: Cross multiply
    258,016x = 387,048.46 × 100,256.64
  4. Step 4: Simplify right side
    258,016x = 38,804,178,116.77
  5. Step 5: Solve for x
    x = 38,804,178,116.77/258,016
  6. Step 6: Final answer
    x = 150,394.46

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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.