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Finding the Fourth Proportional to 409,203,049.80, 613,804,574.70 and 245,944,374.60

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Solution

The fourth proportional to 409,203,049.80, 613,804,574.70 and 245,944,374.60 is: 368,916,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,203,049.80 : 613,804,574.70 = 245,944,374.60 : x
  2. Step 2: Convert to fraction form
    409,203,049.80/613,804,574.70 = 245,944,374.60/x
  3. Step 3: Cross multiply
    409,203,049.80x = 613,804,574.70 × 245,944,374.60
  4. Step 4: Simplify right side
    409,203,049.80x = 150,961,782,251,210,496
  5. Step 5: Solve for x
    x = 150,961,782,251,210,496/409,203,049.80
  6. Step 6: Final answer
    x = 368,916,561.90

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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.