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Finding the Fourth Proportional to 641,382.28, 962,405.42 and 465,342.28

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Solution

The fourth proportional to 641,382.28, 962,405.42 and 465,342.28 is: 698,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,382.28 : 962,405.42 = 465,342.28 : x
  2. Step 2: Convert to fraction form
    641,382.28/962,405.42 = 465,342.28/x
  3. Step 3: Cross multiply
    641,382.28x = 962,405.42 × 465,342.28
  4. Step 4: Simplify right side
    641,382.28x = 447,847,932,427.16
  5. Step 5: Solve for x
    x = 447,847,932,427.16/641,382.28
  6. Step 6: Final answer
    x = 698,254.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.