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Finding the Fourth Proportional to 725,876, 1,001,708.88 and 407,924

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Solution

The fourth proportional to 725,876, 1,001,708.88 and 407,924 is: 562,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,876 : 1,001,708.88 = 407,924 : x
  2. Step 2: Convert to fraction form
    725,876/1,001,708.88 = 407,924/x
  3. Step 3: Cross multiply
    725,876x = 1,001,708.88 × 407,924
  4. Step 4: Simplify right side
    725,876x = 408,621,093,165.12
  5. Step 5: Solve for x
    x = 408,621,093,165.12/725,876
  6. Step 6: Final answer
    x = 562,935.12

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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.