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Finding the Fourth Proportional to 465,726, 642,701.88 and 253,758

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Solution

The fourth proportional to 465,726, 642,701.88 and 253,758 is: 350,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,726 : 642,701.88 = 253,758 : x
  2. Step 2: Convert to fraction form
    465,726/642,701.88 = 253,758/x
  3. Step 3: Cross multiply
    465,726x = 642,701.88 × 253,758
  4. Step 4: Simplify right side
    465,726x = 163,090,743,665.04
  5. Step 5: Solve for x
    x = 163,090,743,665.04/465,726
  6. Step 6: Final answer
    x = 350,186.04

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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.