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Finding the Fourth Proportional to 228,644, 315,497.12 and 126,644.16

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Solution

The fourth proportional to 228,644, 315,497.12 and 126,644.16 is: 174,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,644 : 315,497.12 = 126,644.16 : x
  2. Step 2: Convert to fraction form
    228,644/315,497.12 = 126,644.16/x
  3. Step 3: Cross multiply
    228,644x = 315,497.12 × 126,644.16
  4. Step 4: Simplify right side
    228,644x = 39,955,867,744.82
  5. Step 5: Solve for x
    x = 39,955,867,744.82/228,644
  6. Step 6: Final answer
    x = 174,751.44

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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.