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Finding the Fourth Proportional to 315,016, 472,524 and 81,544

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Solution

The fourth proportional to 315,016, 472,524 and 81,544 is: 122,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,016 : 472,524 = 81,544 : x
  2. Step 2: Convert to fraction form
    315,016/472,524 = 81,544/x
  3. Step 3: Cross multiply
    315,016x = 472,524 × 81,544
  4. Step 4: Simplify right side
    315,016x = 38,531,497,056
  5. Step 5: Solve for x
    x = 38,531,497,056/315,016
  6. Step 6: Final answer
    x = 122,316

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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.