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Finding the Fourth Proportional to 725,862, 1,001,689.56 and 407,910

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Solution

The fourth proportional to 725,862, 1,001,689.56 and 407,910 is: 562,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,862 : 1,001,689.56 = 407,910 : x
  2. Step 2: Convert to fraction form
    725,862/1,001,689.56 = 407,910/x
  3. Step 3: Cross multiply
    725,862x = 1,001,689.56 × 407,910
  4. Step 4: Simplify right side
    725,862x = 408,599,188,419.60
  5. Step 5: Solve for x
    x = 408,599,188,419.60/725,862
  6. Step 6: Final answer
    x = 562,915.80

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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.