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Finding the Fourth Proportional to 414,459.90, 621,724.95 and 114,940.44

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Solution

The fourth proportional to 414,459.90, 621,724.95 and 114,940.44 is: 172,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,459.90 : 621,724.95 = 114,940.44 : x
  2. Step 2: Convert to fraction form
    414,459.90/621,724.95 = 114,940.44/x
  3. Step 3: Cross multiply
    414,459.90x = 621,724.95 × 114,940.44
  4. Step 4: Simplify right side
    414,459.90x = 71,461,339,311.98
  5. Step 5: Solve for x
    x = 71,461,339,311.98/414,459.90
  6. Step 6: Final answer
    x = 172,420.39

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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.