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Finding the Fourth Proportional to 409,202,575.80, 613,803,863.70 and 245,943,900.60

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Solution

The fourth proportional to 409,202,575.80, 613,803,863.70 and 245,943,900.60 is: 368,915,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,202,575.80 : 613,803,863.70 = 245,943,900.60 : x
  2. Step 2: Convert to fraction form
    409,202,575.80/613,803,863.70 = 245,943,900.60/x
  3. Step 3: Cross multiply
    409,202,575.80x = 613,803,863.70 × 245,943,900.60
  4. Step 4: Simplify right side
    409,202,575.80x = 150,961,316,441,728,768
  5. Step 5: Solve for x
    x = 150,961,316,441,728,768/409,202,575.80
  6. Step 6: Final answer
    x = 368,915,850.90

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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.