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Finding the Fourth Proportional to 645,877.47, 967,930.46 and 408,796.95

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Solution

The fourth proportional to 645,877.47, 967,930.46 and 408,796.95 is: 612,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,877.47 : 967,930.46 = 408,796.95 : x
  2. Step 2: Convert to fraction form
    645,877.47/967,930.46 = 408,796.95/x
  3. Step 3: Cross multiply
    645,877.47x = 967,930.46 × 408,796.95
  4. Step 4: Simplify right side
    645,877.47x = 395,687,019,860.10
  5. Step 5: Solve for x
    x = 395,687,019,860.10/645,877.47
  6. Step 6: Final answer
    x = 612,634.81

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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.