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Finding the Fourth Proportional to 414,047.70, 621,070.79 and 129,760.07

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Solution

The fourth proportional to 414,047.70, 621,070.79 and 129,760.07 is: 194,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,047.70 : 621,070.79 = 129,760.07 : x
  2. Step 2: Convert to fraction form
    414,047.70/621,070.79 = 129,760.07/x
  3. Step 3: Cross multiply
    414,047.70x = 621,070.79 × 129,760.07
  4. Step 4: Simplify right side
    414,047.70x = 80,590,185,431.20
  5. Step 5: Solve for x
    x = 80,590,185,431.20/414,047.70
  6. Step 6: Final answer
    x = 194,639.86

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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.