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Finding the Fourth Proportional to 414,661,790.73, 621,995,011.32 and 138,312,246.30

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Solution

The fourth proportional to 414,661,790.73, 621,995,011.32 and 138,312,246.30 is: 207,469,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,661,790.73 : 621,995,011.32 = 138,312,246.30 : x
  2. Step 2: Convert to fraction form
    414,661,790.73/621,995,011.32 = 138,312,246.30/x
  3. Step 3: Cross multiply
    414,661,790.73x = 621,995,011.32 × 138,312,246.30
  4. Step 4: Simplify right side
    414,661,790.73x = 86,029,527,201,251,392
  5. Step 5: Solve for x
    x = 86,029,527,201,251,392/414,661,790.73
  6. Step 6: Final answer
    x = 207,469,145.03

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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.