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Finding the Fourth Proportional to 408,097.70, 612,146.55 and 401,099.30

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Solution

The fourth proportional to 408,097.70, 612,146.55 and 401,099.30 is: 601,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097.70 : 612,146.55 = 401,099.30 : x
  2. Step 2: Convert to fraction form
    408,097.70/612,146.55 = 401,099.30/x
  3. Step 3: Cross multiply
    408,097.70x = 612,146.55 × 401,099.30
  4. Step 4: Simplify right side
    408,097.70x = 245,531,552,702.42
  5. Step 5: Solve for x
    x = 245,531,552,702.42/408,097.70
  6. Step 6: Final answer
    x = 601,648.95

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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.