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Finding the Fourth Proportional to 474,780, 655,196.40 and 262,812

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Solution

The fourth proportional to 474,780, 655,196.40 and 262,812 is: 362,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,780 : 655,196.40 = 262,812 : x
  2. Step 2: Convert to fraction form
    474,780/655,196.40 = 262,812/x
  3. Step 3: Cross multiply
    474,780x = 655,196.40 × 262,812
  4. Step 4: Simplify right side
    474,780x = 172,193,476,276.80
  5. Step 5: Solve for x
    x = 172,193,476,276.80/474,780
  6. Step 6: Final answer
    x = 362,680.56

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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.