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Finding the Fourth Proportional to 409,202,405.80, 613,803,608.70 and 245,943,730.60

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Solution

The fourth proportional to 409,202,405.80, 613,803,608.70 and 245,943,730.60 is: 368,915,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,202,405.80 : 613,803,608.70 = 245,943,730.60 : x
  2. Step 2: Convert to fraction form
    409,202,405.80/613,803,608.70 = 245,943,730.60/x
  3. Step 3: Cross multiply
    409,202,405.80x = 613,803,608.70 × 245,943,730.60
  4. Step 4: Simplify right side
    409,202,405.80x = 150,961,149,379,420,640
  5. Step 5: Solve for x
    x = 150,961,149,379,420,640/409,202,405.80
  6. Step 6: Final answer
    x = 368,915,595.90

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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.