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Finding the Fourth Proportional to 427,725.64, 642,418.84 and 314,960.48

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Solution

The fourth proportional to 427,725.64, 642,418.84 and 314,960.48 is: 473,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,725.64 : 642,418.84 = 314,960.48 : x
  2. Step 2: Convert to fraction form
    427,725.64/642,418.84 = 314,960.48/x
  3. Step 3: Cross multiply
    427,725.64x = 642,418.84 × 314,960.48
  4. Step 4: Simplify right side
    427,725.64x = 202,336,546,207.44
  5. Step 5: Solve for x
    x = 202,336,546,207.44/427,725.64
  6. Step 6: Final answer
    x = 473,052.18

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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.