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Finding the Fourth Proportional to 414,467.80, 621,701.70 and 381,808.60

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Solution

The fourth proportional to 414,467.80, 621,701.70 and 381,808.60 is: 572,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,467.80 : 621,701.70 = 381,808.60 : x
  2. Step 2: Convert to fraction form
    414,467.80/621,701.70 = 381,808.60/x
  3. Step 3: Cross multiply
    414,467.80x = 621,701.70 × 381,808.60
  4. Step 4: Simplify right side
    414,467.80x = 237,371,055,694.62
  5. Step 5: Solve for x
    x = 237,371,055,694.62/414,467.80
  6. Step 6: Final answer
    x = 572,712.90

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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.