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Finding the Fourth Proportional to 725,859, 1,001,685.42 and 407,907

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Solution

The fourth proportional to 725,859, 1,001,685.42 and 407,907 is: 562,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,859 : 1,001,685.42 = 407,907 : x
  2. Step 2: Convert to fraction form
    725,859/1,001,685.42 = 407,907/x
  3. Step 3: Cross multiply
    725,859x = 1,001,685.42 × 407,907
  4. Step 4: Simplify right side
    725,859x = 408,594,494,615.94
  5. Step 5: Solve for x
    x = 408,594,494,615.94/725,859
  6. Step 6: Final answer
    x = 562,911.66

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1.5x scale

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.