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Finding the Fourth Proportional to 465,729, 642,706.02 and 253,761

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Solution

The fourth proportional to 465,729, 642,706.02 and 253,761 is: 350,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,729 : 642,706.02 = 253,761 : x
  2. Step 2: Convert to fraction form
    465,729/642,706.02 = 253,761/x
  3. Step 3: Cross multiply
    465,729x = 642,706.02 × 253,761
  4. Step 4: Simplify right side
    465,729x = 163,093,722,341.22
  5. Step 5: Solve for x
    x = 163,093,722,341.22/465,729
  6. Step 6: Final answer
    x = 350,190.18

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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.