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Finding the Fourth Proportional to 414,604.34, 621,904.47 and 161,910.50

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Solution

The fourth proportional to 414,604.34, 621,904.47 and 161,910.50 is: 242,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,604.34 : 621,904.47 = 161,910.50 : x
  2. Step 2: Convert to fraction form
    414,604.34/621,904.47 = 161,910.50/x
  3. Step 3: Cross multiply
    414,604.34x = 621,904.47 × 161,910.50
  4. Step 4: Simplify right side
    414,604.34x = 100,692,862,405.42
  5. Step 5: Solve for x
    x = 100,692,862,405.42/414,604.34
  6. Step 6: Final answer
    x = 242,864.95

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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.