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Finding the Fourth Proportional to 725,874, 1,001,706.12 and 407,922

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Solution

The fourth proportional to 725,874, 1,001,706.12 and 407,922 is: 562,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,874 : 1,001,706.12 = 407,922 : x
  2. Step 2: Convert to fraction form
    725,874/1,001,706.12 = 407,922/x
  3. Step 3: Cross multiply
    725,874x = 1,001,706.12 × 407,922
  4. Step 4: Simplify right side
    725,874x = 408,617,963,882.64
  5. Step 5: Solve for x
    x = 408,617,963,882.64/725,874
  6. Step 6: Final answer
    x = 562,932.36

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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.